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Enrico Scalas

Citations

Many of the citations below have been collected in an experimental project, CitEc, where a more detailed citation analysis can be found. These are citations from works listed in RePEc that could be analyzed mechanically. So far, only a minority of all works could be analyzed. See under "Corrections" how you can help improve the citation analysis.

Working papers

  1. Bertram During & Nicos Georgiou & Sara Merino-Aceituno & Enrico Scalas, 2020. "Continuum and thermodynamic limits for a simple random-exchange model," Papers 2003.00930, arXiv.org.

    Cited by:

    1. N. J. Chater & R. S. MacKay, 2024. "Thermal Macroeconomics: An axiomatic theory of aggregate economic phenomena," Papers 2412.00886, arXiv.org.

  2. Cheoljun Eom & Taisei Kaizoji & Enrico Scalas, 2019. "Fat Tails in Financial Return Distributions Revisited: Evidence from the Korean Stock Market," Papers 1904.02567, arXiv.org.

    Cited by:

    1. Leovardo Mata Mata & José Antonio Núñez Mora & Ramona Serrano Bautista, 2021. "Multivariate Distribution in the Stock Markets of Brazil, Russia, India, and China," SAGE Open, , vol. 11(2), pages 21582440211, April.
    2. Giulia Di Nunno & Kk{e}stutis Kubilius & Yuliya Mishura & Anton Yurchenko-Tytarenko, 2023. "From constant to rough: A survey of continuous volatility modeling," Papers 2309.01033, arXiv.org, revised Sep 2023.
    3. Eom, Cheoljun & Park, Jong Won, 2023. "Price behavior of small-cap stocks and momentum: A study using principal component momentum," Research in International Business and Finance, Elsevier, vol. 65(C).
    4. Giulia Di Nunno & Kęstutis Kubilius & Yuliya Mishura & Anton Yurchenko-Tytarenko, 2023. "From Constant to Rough: A Survey of Continuous Volatility Modeling," Mathematics, MDPI, vol. 11(19), pages 1-35, October.
    5. EOM, Cheoljun & EOM, Yunsung & PARK, Jong Won, 2024. "Intermediate cross-sectional prospect theory value in stock markets: A novel method," International Review of Financial Analysis, Elsevier, vol. 93(C).
    6. Marcin Wk{a}torek & Jaros{l}aw Kwapie'n & Stanis{l}aw Dro.zd.z, 2021. "Financial Return Distributions: Past, Present, and COVID-19," Papers 2107.06659, arXiv.org.
    7. Changtai Li & Weihong Huang & Wei-Siang Wang & Wai-Mun Chia, 2023. "Price Change and Trading Volume: Behavioral Heterogeneity in Stock Market," Computational Economics, Springer;Society for Computational Economics, vol. 61(2), pages 677-713, February.
    8. Eom, Cheoljun & Park, Jong Won, 2020. "Effects of the fat-tail distribution on the relationship between prospect theory value and expected return," The North American Journal of Economics and Finance, Elsevier, vol. 51(C).
    9. Till Massing & Arturo Ramos, 2023. "Student't mixture models for stock indices. A comparative study," Papers 2308.10023, arXiv.org.
    10. Eom, Cheoljun & Eom, Yunsung & Park, Jong Won, 2023. "Left-tail momentum and tail properties of return distributions: A case of Korea," International Review of Financial Analysis, Elsevier, vol. 87(C).
    11. Eom, Cheoljun & Kaizoji, Taisei & Livan, Giacomo & Scalas, Enrico, 2021. "Limitations of portfolio diversification through fat tails of the return Distributions: Some empirical evidence," The North American Journal of Economics and Finance, Elsevier, vol. 56(C).
    12. Echaust, Krzysztof & Just, Małgorzata, 2022. "Is gold still a safe haven for stock markets? New insights through the tail thickness of portfolio return distributions," Research in International Business and Finance, Elsevier, vol. 63(C).
    13. Burns, Christopher B. & Kane, Stephen, 2022. "Arbitrage breakdown in WTI crude oil futures: An analysis of the events on April 20, 2020," Resources Policy, Elsevier, vol. 76(C).

  3. Enrico Scalas & Fabio Rapallo & Tijana Radivojevi'c, 2016. "Low-traffic limit and first-passage times for a simple model of the continuous double auction," Papers 1603.09666, arXiv.org.

    Cited by:

    1. Zhang, Yunyi & Gong, Pu, 2018. "IPV model with Cobb–Douglas and reference-dependent utility functions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 510(C), pages 121-131.
    2. V'it Perv{z}ina & Jan M. Swart, 2016. "How much market making does a market need?," Papers 1612.00981, arXiv.org, revised Jun 2018.

  4. Gerardo-Giorda, Luca & Germano, Guido & Scalas, Enrico, 2015. "Large scale simulation of synthetic markets," LSE Research Online Documents on Economics 67563, London School of Economics and Political Science, LSE Library.

    Cited by:

    1. Hao Ming & JinRong Wang & Michal Fečkan, 2019. "The Application of Fractional Calculus in Chinese Economic Growth Models," Mathematics, MDPI, vol. 7(8), pages 1-6, July.
    2. Xu Wang & JinRong Wang & Michal Fečkan, 2020. "BP Neural Network Calculus in Economic Growth Modelling of the Group of Seven," Mathematics, MDPI, vol. 8(1), pages 1-11, January.

  5. Giacomo Livan & Simone Alfarano & Mishael Milakovic & Enrico Scalas, 2014. "A spectral perspective on excess volatility," Working Papers 2014/13, Economics Department, Universitat Jaume I, Castellón (Spain).

    Cited by:

    1. Mundt, Philipp & Alfarano, Simone & Milaković, Mishael, 2020. "Survival and the ergodicity of corporate profitability," BERG Working Paper Series 162, Bamberg University, Bamberg Economic Research Group.
    2. Chakrabarti, Arnab & Chakrabarti, Anindya S., 2020. "Fractional Differencing: (In)stability of Spectral Structure and Risk Measures of Financial Networks," IIMA Working Papers WP 2020-07-01, Indian Institute of Management Ahmedabad, Research and Publication Department.

  6. Tijana Radivojevi'c & Jonatha Anselmi & Enrico Scalas, 2013. "Ergodic transition in a simple model of the continuous double auction," Papers 1305.2716, arXiv.org.

    Cited by:

    1. Enrico Scalas & Fabio Rapallo & Tijana Radivojevi'c, 2016. "Low-traffic limit and first-passage times for a simple model of the continuous double auction," Papers 1603.09666, arXiv.org.
    2. Luisanna Cocco & Michele Marchesi, 2016. "Modeling and Simulation of the Economics of Mining in the Bitcoin Market," PLOS ONE, Public Library of Science, vol. 11(10), pages 1-31, October.
    3. Gerardo-Giorda, Luca & Germano, Guido & Scalas, Enrico, 2015. "Large scale simulation of synthetic markets," LSE Research Online Documents on Economics 67563, London School of Economics and Political Science, LSE Library.

  7. H. F. Coronel-Brizio & A. R. Hern'andez Montoya & H. R Olivares S'anchez & E. Scalas, 2012. "Analysis of short term price trends in daily stock-market index data," Papers 1211.3060, arXiv.org.

    Cited by:

    1. Rodríguez-Martínez, C.M. & Coronel-Brizio, H.F. & Hernández-Montoya, A.R., 2021. "A multi-scale symmetry analysis of uninterrupted trends returns in daily financial indices," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 574(C).
    2. Jacinta Chan Phooi M’ng & Rozaimah Zainudin, 2016. "Assessing the Efficacy of Adjustable Moving Averages Using ASEAN-5 Currencies," PLOS ONE, Public Library of Science, vol. 11(8), pages 1-19, August.

  8. Giacomo Livan & Jun-ichi Inoue & Enrico Scalas, 2012. "On the non-stationarity of financial time series: impact on optimal portfolio selection," Papers 1205.0877, arXiv.org, revised Jul 2012.

    Cited by:

    1. Matthias Raddant & Friedrich Wagner, 2013. "Phase Transition in the S&P Stock Market," Papers 1306.2508, arXiv.org, revised Jun 2015.
    2. Roman Matkovskyy & Akanksha Jalan & Michael Dowling & Taoufik Bouraoui, 2021. "From bottom ten to top ten: The role of cryptocurrencies in enhancing portfolio return of poorly performing stocks," Post-Print hal-04273124, HAL.
    3. Marcaccioli, Riccardo & Livan, Giacomo, 2020. "Maximum entropy approach to multivariate time series randomization," LSE Research Online Documents on Economics 115284, London School of Economics and Political Science, LSE Library.
    4. Marian Gidea & Daniel Goldsmith & Yuri Katz & Pablo Roldan & Yonah Shmalo, 2018. "Topological recognition of critical transitions in time series of cryptocurrencies," Papers 1809.00695, arXiv.org.
    5. Li, Yan & Jiang, Xiong-Fei & Tian, Yue & Li, Sai-Ping & Zheng, Bo, 2019. "Portfolio optimization based on network topology," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 515(C), pages 671-681.
    6. Linda Ponta & Mailan Trinh & Marco Raberto & Enrico Scalas & Silvano Cincotti, 2012. "Modeling non-stationarities in high-frequency financial time series," Papers 1212.0479, arXiv.org, revised Feb 2017.
    7. Alessio Emanuele Biondo & Alessandro Pluchino & Andrea Rapisarda & Dirk Helbing, 2013. "Are Random Trading Strategies More Successful than Technical Ones?," PLOS ONE, Public Library of Science, vol. 8(7), pages 1-13, July.
    8. James, Nick & Menzies, Max, 2023. "An exploration of the mathematical structure and behavioural biases of 21st century financial crises," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 630(C).
    9. Douglas Castilho & Tharsis T. P. Souza & Soong Moon Kang & Jo~ao Gama & Andr'e C. P. L. F. de Carvalho, 2021. "Forecasting Financial Market Structure from Network Features using Machine Learning," Papers 2110.11751, arXiv.org.
    10. Gidea, Marian & Goldsmith, Daniel & Katz, Yuri & Roldan, Pablo & Shmalo, Yonah, 2020. "Topological recognition of critical transitions in time series of cryptocurrencies," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 548(C).
    11. Bertram During & Nicos Georgiou & Enrico Scalas, 2016. "A stylized model for wealth distribution," Papers 1609.08978, arXiv.org, revised Jul 2021.
    12. Nicol'o Musmeci & Tomaso Aste & Tiziana Di Matteo, 2016. "What does past correlation structure tell us about the future? An answer from network filtering," Papers 1605.08908, arXiv.org.
    13. Nicol'o Musmeci & Tomaso Aste & Tiziana Di Matteo, 2014. "Risk diversification: a study of persistence with a filtered correlation-network approach," Papers 1410.5621, arXiv.org.
    14. Polanco-Martínez, J.M. & Fernández-Macho, J. & Neumann, M.B. & Faria, S.H., 2018. "A pre-crisis vs. crisis analysis of peripheral EU stock markets by means of wavelet transform and a nonlinear causality test," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 490(C), pages 1211-1227.
    15. A. E. Biondo & A. Pluchino & A. Rapisarda & D. Helbing, 2013. "Are random trading strategies more successful than technical ones?," Papers 1303.4351, arXiv.org, revised Jul 2013.
    16. Chakrabarti, Arnab & Chakrabarti, Anindya S., 2020. "Fractional Differencing: (In)stability of Spectral Structure and Risk Measures of Financial Networks," IIMA Working Papers WP 2020-07-01, Indian Institute of Management Ahmedabad, Research and Publication Department.

  9. Linda Ponta & Mailan Trinh & Marco Raberto & Enrico Scalas & Silvano Cincotti, 2012. "Modeling non-stationarities in high-frequency financial time series," Papers 1212.0479, arXiv.org, revised Feb 2017.

    Cited by:

    1. Elżbieta Szaruga & Elżbieta Załoga, 2022. "Environmental Management from the Point of View of the Energy Intensity of Road Freight Transport and Shocks," IJERPH, MDPI, vol. 19(21), pages 1-22, November.
    2. Arias-Calluari, Karina & Najafi, Morteza. N. & Harré, Michael S. & Tang, Yaoyue & Alonso-Marroquin, Fernando, 2022. "Testing stationarity of the detrended price return in stock markets," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 587(C).
    3. Cheoljun Eom & Taisei Kaizoji & Enrico Scalas, 2019. "Fat Tails in Financial Return Distributions Revisited: Evidence from the Korean Stock Market," Papers 1904.02567, arXiv.org.
    4. Binghui Wu & Tingting Duan, 2019. "Nonlinear Dynamics Characteristic of Risk Contagion in Financial Market Based on Agent Modeling and Complex Network," Complexity, Hindawi, vol. 2019, pages 1-12, June.
    5. Kreer, Markus & Kizilersu, Ayse & Thomas, Anthony W., 2022. "Censored expectation maximization algorithm for mixtures: Application to intertrade waiting times," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 587(C).
    6. Eom, Cheoljun & Kaizoji, Taisei & Livan, Giacomo & Scalas, Enrico, 2021. "Limitations of portfolio diversification through fat tails of the return Distributions: Some empirical evidence," The North American Journal of Economics and Finance, Elsevier, vol. 56(C).
    7. Rytis Kazakevicius & Aleksejus Kononovicius & Bronislovas Kaulakys & Vygintas Gontis, 2021. "Understanding the nature of the long-range memory phenomenon in socioeconomic systems," Papers 2108.02506, arXiv.org, revised Aug 2021.

  10. Enrico Scalas, 2011. "A class of CTRWs: Compound fractional Poisson processes," Papers 1103.0647, arXiv.org.

    Cited by:

    1. Enrico Scalas & Mauro Politi, 2012. "A parsimonious model for intraday European option pricing," Papers 1202.4332, arXiv.org.
    2. Davide Cocco & Massimiliano Giona, 2021. "Generalized Counting Processes in a Stochastic Environment," Mathematics, MDPI, vol. 9(20), pages 1-19, October.
    3. Gerardo-Giorda, Luca & Germano, Guido & Scalas, Enrico, 2015. "Large scale simulation of synthetic markets," LSE Research Online Documents on Economics 67563, London School of Economics and Political Science, LSE Library.

  11. G. Livan & S. Alfarano & E. Scalas, 2011. "The fine structure of spectral properties for random correlation matrices: an application to financial markets," Papers 1102.4076, arXiv.org.

    Cited by:

    1. Giacomo Livan & Simone Alfarano & Mishael Milaković & Enrico Scalas, 2015. "A spectral perspective on excess volatility," Applied Economics Letters, Taylor & Francis Journals, vol. 22(9), pages 745-750, June.
    2. Matthias Raddant & Friedrich Wagner, 2013. "Phase Transition in the S&P Stock Market," Papers 1306.2508, arXiv.org, revised Jun 2015.
    3. Longfeng Zhao & Wei Li & Andrea Fenu & Boris Podobnik & Yougui Wang & H. Eugene Stanley, 2017. "The q-dependent detrended cross-correlation analysis of stock market," Papers 1705.01406, arXiv.org, revised Jun 2017.
    4. Marcaccioli, Riccardo & Livan, Giacomo, 2020. "Maximum entropy approach to multivariate time series randomization," LSE Research Online Documents on Economics 115284, London School of Economics and Political Science, LSE Library.
    5. Anshul Verma & Orazio Angelini & Tiziana Di Matteo, 2019. "A new set of cluster driven composite development indicators," Papers 1911.11226, arXiv.org, revised Mar 2020.
    6. Thomas Bury, 2014. "Collective behaviours in the stock market -- A maximum entropy approach," Papers 1403.5179, arXiv.org, revised Mar 2014.
    7. Riccardo Marcaccioli & Giacomo Livan, 2019. "Maximum Entropy approach to multivariate time series randomization," Papers 1907.04925, arXiv.org, revised Jun 2020.
    8. Matthias Raddant & Friedrich Wagner, 2015. "Transitions in the Stock Markets of the US, UK, and Germany," Papers 1504.06113, arXiv.org.
    9. Bury, Thomas, 2014. "Predicting trend reversals using market instantaneous state," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 404(C), pages 79-91.
    10. Anshul Verma & Riccardo Junior Buonocore & Tiziana di Matteo, 2017. "A cluster driven log-volatility factor model: a deepening on the source of the volatility clustering," Papers 1712.02138, arXiv.org, revised May 2018.
    11. Fricke, Daniel, 2012. "Trading strategies in the overnight money market: Correlations and clustering on the e-MID trading platform," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(24), pages 6528-6542.
    12. M. Raddant & T. Di Matteo, 2023. "A look at financial dependencies by means of econophysics and financial economics," Journal of Economic Interaction and Coordination, Springer;Society for Economic Science with Heterogeneous Interacting Agents, vol. 18(4), pages 701-734, October.
    13. Thomas Bury, 2013. "Predicting trend reversals using market instantaneous state," Papers 1310.8169, arXiv.org, revised Mar 2014.
    14. Giacomo Livan & Luca Rebecchi, 2012. "Asymmetric correlation matrices: an analysis of financial data," Papers 1201.6535, arXiv.org, revised Apr 2012.
    15. Gerardo-Giorda, Luca & Germano, Guido & Scalas, Enrico, 2015. "Large scale simulation of synthetic markets," LSE Research Online Documents on Economics 67563, London School of Economics and Political Science, LSE Library.
    16. Antti J Tanskanen & Jani Lukkarinen & Kari Vatanen, 2018. "Random selection of factors preserves the correlation structure in a linear factor model to a high degree," PLOS ONE, Public Library of Science, vol. 13(12), pages 1-22, December.
    17. Giacomo Livan & Jun-ichi Inoue & Enrico Scalas, 2012. "On the non-stationarity of financial time series: impact on optimal portfolio selection," Papers 1205.0877, arXiv.org, revised Jul 2012.
    18. Yi†Hui Zhou & J. S. Marron & Fred A. Wright, 2018. "Eigenvalue significance testing for genetic association," Biometrics, The International Biometric Society, vol. 74(2), pages 439-447, June.

  12. Mauro Politi & Taisei Kaizoji & Enrico Scalas, 2011. "Full characterization of the fractional Poisson process," Papers 1104.4234, arXiv.org.

    Cited by:

    1. De Martino, Giuseppe & Spina, Serena, 2015. "Exploiting the time-dynamics of news diffusion on the Internet through a generalized Susceptible–Infected model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 438(C), pages 634-644.
    2. Alessandro Gregorio & Francesco Iafrate, 2024. "Path Dynamics of Time-Changed Lévy Processes: A Martingale Approach," Journal of Theoretical Probability, Springer, vol. 37(4), pages 3246-3280, November.
    3. Chicheportiche, Rémy & Chakraborti, Anirban, 2017. "A model-free characterization of recurrences in stationary time series," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 474(C), pages 312-318.
    4. Leonenko, Nikolai & Scalas, Enrico & Trinh, Mailan, 2017. "The fractional non-homogeneous Poisson process," Statistics & Probability Letters, Elsevier, vol. 120(C), pages 147-156.
    5. Orsingher, Enzo & Polito, Federico, 2012. "The space-fractional Poisson process," Statistics & Probability Letters, Elsevier, vol. 82(4), pages 852-858.
    6. Davide Cocco & Massimiliano Giona, 2021. "Generalized Counting Processes in a Stochastic Environment," Mathematics, MDPI, vol. 9(20), pages 1-19, October.
    7. Orsingher, Enzo & Polito, Federico, 2013. "On the integral of fractional Poisson processes," Statistics & Probability Letters, Elsevier, vol. 83(4), pages 1006-1017.
    8. Beghin, Luisa & Macci, Claudio, 2017. "Asymptotic results for a multivariate version of the alternative fractional Poisson process," Statistics & Probability Letters, Elsevier, vol. 129(C), pages 260-268.
    9. Beghin, Luisa & Macci, Claudio, 2013. "Large deviations for fractional Poisson processes," Statistics & Probability Letters, Elsevier, vol. 83(4), pages 1193-1202.

  13. Jun-ichi Inoue & Naoya Sazuka & Enrico Scalas, 2010. "On-line trading as a renewal process: Waiting time and inspection paradox," Papers 1007.3347, arXiv.org.

    Cited by:

    1. Takero Ibuki & Jun-ichi Inoue, 2011. "Response of double-auction markets to instantaneous Selling–Buying signals with stochastic Bid–Ask spread," Journal of Economic Interaction and Coordination, Springer;Society for Economic Science with Heterogeneous Interacting Agents, vol. 6(2), pages 93-120, November.
    2. Bertram During & Nicos Georgiou & Enrico Scalas, 2016. "A stylized model for wealth distribution," Papers 1609.08978, arXiv.org, revised Jul 2021.

  14. Angle, John & Nielsen, Francois & Scalas, Enrico, 2009. "The Kuznets Curve and the Inequality Process," MPRA Paper 16058, University Library of Munich, Germany, revised 29 Jun 2009.

    Cited by:

    1. Angle, John, 2013. "How To Win Acceptance Of The Inequality Process As Economics?," MPRA Paper 52887, University Library of Munich, Germany.
    2. Arnab Chatterjee & Anindya S. Chakrabarti & Asim Ghosh & Anirban Chakraborti & Tushar K. Nandi, 2015. "Invariant features of spatial inequality in consumption: the case of India," Papers 1507.04236, arXiv.org, revised Sep 2015.
    3. Anindya S. Chakrabarti & Bikas K. Chakrabarti, 2010. "Inequality reversal: effects of the savings propensity and correlated returns," Papers 1005.3518, arXiv.org.
    4. Chakrabarti, Anindya S. & Chakrabarti, Bikas K., 2010. "Inequality reversal: Effects of the savings propensity and correlated returns," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(17), pages 3572-3579.
    5. Angle, John, 2011. "Socio-Economic Analogues of the Gas Laws (Boyle's and Charles')," MPRA Paper 40125, University Library of Munich, Germany, revised 17 Jul 2012.

  15. Naoya Sazuka & Jun-ichi Inoue & Enrico Scalas, 2008. "The distribution of first-passage times and durations in FOREX and future markets," Papers 0808.0372, arXiv.org.

    Cited by:

    1. Takero Ibuki & Jun-ichi Inoue, 2011. "Response of double-auction markets to instantaneous Selling–Buying signals with stochastic Bid–Ask spread," Journal of Economic Interaction and Coordination, Springer;Society for Economic Science with Heterogeneous Interacting Agents, vol. 6(2), pages 93-120, November.
    2. Inoue, Jun-ichi & Ghosh, Asim & Chatterjee, Arnab & Chakrabarti, Bikas K., 2015. "Measuring social inequality with quantitative methodology: Analytical estimates and empirical data analysis by Gini and k indices," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 429(C), pages 184-204.
    3. Chicheportiche, Rémy & Chakraborti, Anirban, 2017. "A model-free characterization of recurrences in stationary time series," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 474(C), pages 312-318.
    4. Bertram During & Nicos Georgiou & Enrico Scalas, 2016. "A stylized model for wealth distribution," Papers 1609.08978, arXiv.org, revised Jul 2021.
    5. Aki-Hiro Sato & Takaki Hayashi & Janusz A. Ho{l}yst, 2012. "Comprehensive Analysis of Market Conditions in the Foreign Exchange Market: Fluctuation Scaling and Variance-Covariance Matrix," Papers 1204.0426, arXiv.org.
    6. Aki-Hiro Sato & Takaki Hayashi & Janusz Hołyst, 2012. "Comprehensive analysis of market conditions in the foreign exchange market," Journal of Economic Interaction and Coordination, Springer;Society for Economic Science with Heterogeneous Interacting Agents, vol. 7(2), pages 167-179, October.

  16. Guido Germano & Mauro Politi & Enrico Scalas & Ren'e L. Schilling, 2008. "Stochastic calculus for uncoupled continuous-time random walks," Papers 0802.3769, arXiv.org, revised Jan 2009.

    Cited by:

    1. Álvaro Cartea, 2013. "Derivatives pricing with marked point processes using tick-by-tick data," Quantitative Finance, Taylor & Francis Journals, vol. 13(1), pages 111-123, January.
    2. Guoxing Lin, 2018. "Analysis of PFG Anomalous Diffusion via Real-Space and Phase-Space Approaches," Mathematics, MDPI, vol. 6(2), pages 1-16, January.
    3. Schumer, Rina & Baeumer, Boris & Meerschaert, Mark M., 2011. "Extremal behavior of a coupled continuous time random walk," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(3), pages 505-511.
    4. Dexter Cahoy, 2012. "Moment estimators for the two-parameter M-Wright distribution," Computational Statistics, Springer, vol. 27(3), pages 487-497, September.
    5. Scalas, Enrico & Viles, Noèlia, 2014. "A functional limit theorem for stochastic integrals driven by a time-changed symmetric α-stable Lévy process," Stochastic Processes and their Applications, Elsevier, vol. 124(1), pages 385-410.
    6. Straka, Peter, 2018. "Variable order fractional Fokker–Planck equations derived from Continuous Time Random Walks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 503(C), pages 451-463.
    7. Chen, Zhen-Qing & Kim, Kyeong-Hun & Kim, Panki, 2015. "Fractional time stochastic partial differential equations," Stochastic Processes and their Applications, Elsevier, vol. 125(4), pages 1470-1499.
    8. Frank Marten & Krasimira Tsaneva-Atanasova & Luca Giuggioli, 2012. "Bacterial Secretion and the Role of Diffusive and Subdiffusive First Passage Processes," PLOS ONE, Public Library of Science, vol. 7(8), pages 1-12, August.

  17. Mauro Politi & Enrico Scalas, 2008. "Activity spectrum from waiting-time distribution," Papers 0801.3043, arXiv.org.

    Cited by:

    1. Zhi-Qiang Jiang & Wei Chen & Wei-Xing Zhou, 2008. "Detrended fluctuation analysis of intertrade durations," Papers 0806.2444, arXiv.org.
    2. Jiang, Zhi-Qiang & Chen, Wei & Zhou, Wei-Xing, 2008. "Scaling in the distribution of intertrade durations of Chinese stocks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(23), pages 5818-5825.
    3. Yong-Ping Ruan & Wei-Xing Zhou, 2010. "Long-term correlations and multifractal nature in the intertrade durations of a liquid Chinese stock and its warrant," Papers 1008.0160, arXiv.org.
    4. Tristan Fletcher & John Shawe-Taylor, 2013. "Multiple Kernel Learning with Fisher Kernels for High Frequency Currency Prediction," Computational Economics, Springer;Society for Computational Economics, vol. 42(2), pages 217-240, August.

  18. Bence Toth & Enrico Scalas, 2007. "The value of information in financial markets: An agent-based simulation," Papers 0712.2687, arXiv.org.

    Cited by:

    1. Glenn Boyle & Gerald Ward, 2016. "Do Better Informed Investors Always Do Better?," Working Papers in Economics 16/29, University of Canterbury, Department of Economics and Finance.
    2. Kirchler, Michael, 2010. "Partial knowledge is a dangerous thing - On the value of asymmetric fundamental information in asset markets," Journal of Economic Psychology, Elsevier, vol. 31(4), pages 643-658, August.

  19. Bence Toth & Enrico Scalas & Juergen Huber & Michael Kirchler, 2006. "The value of information in a multi-agent market model," Papers physics/0610026, arXiv.org, revised Feb 2007.

    Cited by:

    1. Robin Nicole & Aleksandra Alori'c & Peter Sollich, 2020. "Fragmentation in trader preferences among multiple markets: Market coexistence versus single market dominance," Papers 2012.04103, arXiv.org, revised Aug 2021.
    2. Enrico Scalas & Fabio Rapallo & Tijana Radivojevi'c, 2016. "Low-traffic limit and first-passage times for a simple model of the continuous double auction," Papers 1603.09666, arXiv.org.
    3. Kirchler, Michael, 2010. "Partial knowledge is a dangerous thing - On the value of asymmetric fundamental information in asset markets," Journal of Economic Psychology, Elsevier, vol. 31(4), pages 643-658, August.
    4. Andreas Gronlund & Il Gu Yi & Beom Jun Kim, 2012. "Fractal Profit Landscape of the Stock Market," Papers 1205.0505, arXiv.org.
    5. James T. Wilkinson & Jacob Kelter & John Chen & Uri Wilensky, 2024. "A Network Simulation of OTC Markets with Multiple Agents," Papers 2405.02480, arXiv.org.
    6. Mathieu, Philippe & Morvan, Rémi, 2019. "A deterministic behaviour for realistic price dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 525(C), pages 33-49.
    7. Kirchler, Michael & Huber, Jürgen, 2009. "An exploration of commonly observed stylized facts with data from experimental asset markets," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(8), pages 1631-1658.
    8. Andreas Grönlund & Il Gu Yi & Beom Jun Kim, 2012. "Fractal Profit Landscape of the Stock Market," PLOS ONE, Public Library of Science, vol. 7(4), pages 1-5, April.
    9. Aleksandra Alorić & Peter Sollich & Peter McBurney & Tobias Galla, 2016. "Emergence of Cooperative Long-Term Market Loyalty in Double Auction Markets," PLOS ONE, Public Library of Science, vol. 11(4), pages 1-26, April.

  20. Enrico Scalas & Taisei Kaizoji & Michael Kirchler & Juergen Huber & Alessandra Tedeschi, 2006. "Waiting times between orders and trades in double-auction markets," Papers physics/0608273, arXiv.org.

    Cited by:

    1. Hayashi, Katsuhiko & Kaizoji, Taisei & Pichl, Lukáš, 2007. "Correlation patterns of NIKKEI index constituents," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 383(1), pages 16-21.
    2. Zhi-Qiang Jiang & Wei Chen & Wei-Xing Zhou, 2008. "Detrended fluctuation analysis of intertrade durations," Papers 0806.2444, arXiv.org.
    3. Cappellini, Alessandro & Ferraris, Gianluigi, 2007. "Waiting Times in Simulated Stock Markets," MPRA Paper 7324, University Library of Munich, Germany.
    4. Huber, Jürgen & Kleinlercher, Daniel & Kirchler, Michael, 2012. "The impact of a financial transaction tax on stylized facts of price returns—Evidence from the lab," Journal of Economic Dynamics and Control, Elsevier, vol. 36(8), pages 1248-1266.
    5. Enrico Scalas & Fabio Rapallo & Tijana Radivojevi'c, 2016. "Low-traffic limit and first-passage times for a simple model of the continuous double auction," Papers 1603.09666, arXiv.org.
    6. Politi, Mauro & Scalas, Enrico, 2007. "Activity spectrum from waiting-time distribution," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 383(1), pages 43-48.
    7. Fei Ren & Gao-Feng Gu & Wei-Xing Zhou, 2009. "Scaling and memory in the return intervals of realized volatility," Papers 0904.1107, arXiv.org, revised Aug 2009.
    8. Bence Toth & Enrico Scalas, 2007. "The value of information in financial markets: An agent-based simulation," Papers 0712.2687, arXiv.org.
    9. Enrico Scalas, 2006. "Mixtures of compound Poisson processes as models of tick-by-tick financial data," Papers physics/0608217, arXiv.org.
    10. Kazuto Sasai & Yukio-Pegio Gunji & Tetsuo Kinoshita, 2017. "Intermittent Behavior Induced By Asynchronous Interactions In A Continuous Double Auction Model," Advances in Complex Systems (ACS), World Scientific Publishing Co. Pte. Ltd., vol. 20(02n03), pages 1-21, March.
    11. Jiang, Zhi-Qiang & Chen, Wei & Zhou, Wei-Xing, 2008. "Scaling in the distribution of intertrade durations of Chinese stocks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(23), pages 5818-5825.
    12. Schinckus, C., 2013. "Between complexity of modelling and modelling of complexity: An essay on econophysics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(17), pages 3654-3665.
    13. Kreer, Markus & Kizilersu, Ayse & Thomas, Anthony W., 2022. "Censored expectation maximization algorithm for mixtures: Application to intertrade waiting times," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 587(C).
    14. Bertram, William K., 2008. "Measuring time dependent volatility and cross-sectional correlation in Australian equity returns," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(13), pages 3183-3191.
    15. Yong-Ping Ruan & Wei-Xing Zhou, 2010. "Long-term correlations and multifractal nature in the intertrade durations of a liquid Chinese stock and its warrant," Papers 1008.0160, arXiv.org.
    16. Zhang, Zhikun & Dai, Min & Wang, Xiangjun, 2023. "Statistical inference for mixed jump processes by Markov switching model with application to identify seismicity levels," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 632(P1).
    17. Gunter M. Schutz & Fernando Pigeard de Almeida Prado & Rosemary J. Harris & Vladimir Belitsky, 2007. "Short-time behaviour of demand and price viewed through an exactly solvable model for heterogeneous interacting market agents," Papers 0801.0003, arXiv.org, revised Jun 2009.
    18. Vladimir Filimonov & Didier Sornette, 2013. "Apparent criticality and calibration issues in the Hawkes self-excited point process model: application to high-frequency financial data," Papers 1308.6756, arXiv.org, revised Jul 2014.
    19. Schütz, Gunter M. & de Almeida Prado, Fernando Pigeard & Harris, Rosemary J. & Belitsky, Vladimir, 2009. "Short-time behaviour of demand and price viewed through an exactly solvable model for heterogeneous interacting market agents," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(19), pages 4126-4144.
    20. Zhou, Bin & Xie, Jia-Rong & Yan, Xiao-Yong & Wang, Nianxin & Wang, Bing-Hong, 2017. "A model of task-deletion mechanism based on the priority queueing system of Barabási," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 466(C), pages 415-421.
    21. V. Filimonov & D. Sornette, 2015. "Apparent criticality and calibration issues in the Hawkes self-excited point process model: application to high-frequency financial data," Quantitative Finance, Taylor & Francis Journals, vol. 15(8), pages 1293-1314, August.
    22. Kirchler, Michael & Huber, Jürgen, 2009. "An exploration of commonly observed stylized facts with data from experimental asset markets," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(8), pages 1631-1658.
    23. Bertram, William K., 2009. "Optimal trading strategies for Itô diffusion processes," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(14), pages 2865-2873.

  21. Mark M. Meerschaert & Enrico Scalas, 2006. "Coupled continuous time random walks in finance," Papers physics/0608281, arXiv.org.

    Cited by:

    1. Chen, Hao & Zhang, Tongtong & Lv, Wen, 2018. "Block preconditioning strategies for time–space fractional diffusion equations," Applied Mathematics and Computation, Elsevier, vol. 337(C), pages 41-53.
    2. Wang, Lei & Chen, Yi-Ming, 2020. "Shifted-Chebyshev-polynomial-based numerical algorithm for fractional order polymer visco-elastic rotating beam," Chaos, Solitons & Fractals, Elsevier, vol. 132(C).
    3. Greenwood, Priscilla E. & Schick, Anton & Wefelmeyer, Wolfgang, 2011. "Estimating the inter-arrival time density of Markov renewal processes under structural assumptions on the transition distribution," Statistics & Probability Letters, Elsevier, vol. 81(2), pages 277-282, February.
    4. Enrico Scalas & Mauro Politi, 2012. "A parsimonious model for intraday European option pricing," Papers 1202.4332, arXiv.org.
    5. Straka, P. & Henry, B.I., 2011. "Lagging and leading coupled continuous time random walks, renewal times and their joint limits," Stochastic Processes and their Applications, Elsevier, vol. 121(2), pages 324-336, February.
    6. Beghin, Luisa, 2018. "Fractional diffusion-type equations with exponential and logarithmic differential operators," Stochastic Processes and their Applications, Elsevier, vol. 128(7), pages 2427-2447.
    7. Meerschaert, Mark M. & Scheffler, Hans-Peter, 2008. "Triangular array limits for continuous time random walks," Stochastic Processes and their Applications, Elsevier, vol. 118(9), pages 1606-1633, September.
    8. Enrico Scalas, 2006. "Mixtures of compound Poisson processes as models of tick-by-tick financial data," Papers physics/0608217, arXiv.org.
    9. Schumer, Rina & Baeumer, Boris & Meerschaert, Mark M., 2011. "Extremal behavior of a coupled continuous time random walk," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(3), pages 505-511.
    10. Ali Balcı, Mehmet, 2017. "Time fractional capital-induced labor migration model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 477(C), pages 91-98.
    11. David, S.A. & Machado, J.A.T. & Quintino, D.D. & Balthazar, J.M., 2016. "Partial chaos suppression in a fractional order macroeconomic model," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 122(C), pages 55-68.
    12. Guerreiro, Lucas & Silva, Filipi N. & Amancio, Diego R., 2024. "Recovering network topology and dynamics from sequences: A machine learning approach," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 638(C).
    13. Meerschaert, Mark M. & Nane, Erkan & Xiao, Yimin, 2013. "Fractal dimension results for continuous time random walks," Statistics & Probability Letters, Elsevier, vol. 83(4), pages 1083-1093.
    14. Wang, Cong & Zhang, Hong-li & Fan, Wen-hui, 2017. "Generalized dislocated lag function projective synchronization of fractional order chaotic systems with fully uncertain parameters," Chaos, Solitons & Fractals, Elsevier, vol. 98(C), pages 14-21.
    15. Vasily E. Tarasov, 2019. "On History of Mathematical Economics: Application of Fractional Calculus," Mathematics, MDPI, vol. 7(6), pages 1-28, June.
    16. Tarasov, Vasily E., 2020. "Fractional econophysics: Market price dynamics with memory effects," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 557(C).
    17. Cohen, Serge & Meerschaert, Mark M. & Rosinski, Jan, 2010. "Modeling and simulation with operator scaling," Stochastic Processes and their Applications, Elsevier, vol. 120(12), pages 2390-2411, December.
    18. Cen, Zhongdi & Le, Anbo & Xu, Aimin, 2017. "A robust numerical method for a fractional differential equation," Applied Mathematics and Computation, Elsevier, vol. 315(C), pages 445-452.
    19. Zhang, Hui & Jiang, Xiaoyun & Yang, Xiu, 2018. "A time-space spectral method for the time-space fractional Fokker–Planck equation and its inverse problem," Applied Mathematics and Computation, Elsevier, vol. 320(C), pages 302-318.
    20. Xin-Hui Shao & Chong-Bo Kang, 2023. "Modified DTS Iteration Methods for Spatial Fractional Diffusion Equations," Mathematics, MDPI, vol. 11(4), pages 1-10, February.
    21. Vasily E. Tarasov & Valentina V. Tarasova, 2019. "Dynamic Keynesian Model of Economic Growth with Memory and Lag," Mathematics, MDPI, vol. 7(2), pages 1-17, February.

  22. Enrico Scalas, 2006. "Mixtures of compound Poisson processes as models of tick-by-tick financial data," Papers physics/0608217, arXiv.org.

    Cited by:

    1. Takero Ibuki & Jun-ichi Inoue, 2011. "Response of double-auction markets to instantaneous Selling–Buying signals with stochastic Bid–Ask spread," Journal of Economic Interaction and Coordination, Springer;Society for Economic Science with Heterogeneous Interacting Agents, vol. 6(2), pages 93-120, November.
    2. A. Saichev & D. Sornette, 2012. "A simple microstructure return model explaining microstructure noise and Epps effects," Papers 1202.3915, arXiv.org.
    3. Enrico Scalas & Mauro Politi, 2012. "A parsimonious model for intraday European option pricing," Papers 1202.4332, arXiv.org.
    4. Linda Ponta & Mailan Trinh & Marco Raberto & Enrico Scalas & Silvano Cincotti, 2012. "Modeling non-stationarities in high-frequency financial time series," Papers 1212.0479, arXiv.org, revised Feb 2017.
    5. Sazuka, Naoya & Inoue, Jun-ichi & Scalas, Enrico, 2009. "The distribution of first-passage times and durations in FOREX and future markets," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(14), pages 2839-2853.
    6. Politi, Mauro & Scalas, Enrico, 2008. "Fitting the empirical distribution of intertrade durations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(8), pages 2025-2034.

  23. Enrico Scalas & Kyungsik Kim, 2006. "The art of fitting financial time series with Levy stable distributions," Papers physics/0608224, arXiv.org.

    Cited by:

    1. José Antonio Climent Hernández, 2017. "Portafolios de dispersión mínima con rendimientos log-estables," Remef - Revista Mexicana de Economía y Finanzas Nueva Época REMEF (The Mexican Journal of Economics and Finance), Instituto Mexicano de Ejecutivos de Finanzas, IMEF, vol. 12(2), pages 49-69, Abril-Jun.
    2. José Antonio Climent Hernández & Carolina Cruz Matú, 2017. "Pricing of a structured product on the SX5E when the uncertainty of returns is modeled as a log-stable process," Contaduría y Administración, Accounting and Management, vol. 62(4), pages 1160-1182, Octubre-D.
    3. Climent-Hernández, José Antonio & Venegas-Martínez, Francisco & Ortiz-Arango, Francisco, 2014. "Portafolio óptimo y productos estructurados en mercados alpha-estables: un enfoque de minimización de riesgo [Optimal Portfolio and Structured Notes in alpha-stable Markets: a Risk Minimization App," MPRA Paper 57740, University Library of Munich, Germany.
    4. Christophe Schinckus, 2011. "What can econophysics contribute to financial economics?," International Review of Economics, Springer;Happiness Economics and Interpersonal Relations (HEIRS), vol. 58(2), pages 147-163, June.
    5. Climent Hernández José Antonio & Venegas Martínez Francisco, 2013. "Valuación de opciones sobre subyacentes con rendimientos a-estables," Contaduría y Administración, Accounting and Management, vol. 58(4), pages 119-150, octubre-d.

  24. Enrico Scalas & Mauro Gallegati & Eric Guerci & David Mas & Alessandra Tedeschi, 2006. "Growth and Allocation of Resources in Economics: The Agent-Based Approach," Papers physics/0608221, arXiv.org.

    Cited by:

    1. Einar Erlingsson & Simone Alfarano & Marco Raberto & Hlynur Stefánsson, 2013. "On the distributional properties of size, profit and growth of Icelandic firms," Journal of Economic Interaction and Coordination, Springer;Society for Economic Science with Heterogeneous Interacting Agents, vol. 8(1), pages 57-74, April.
    2. Angle, John, 2011. "The particle system model of income and wealth more likely to imply an analogue of thermodynamics in social science," MPRA Paper 28864, University Library of Munich, Germany.
    3. Pavel Exner & Petr v{S}eba, 2007. "A Markov process associated with plot-size distribution in Czech Land Registry and its number-theoretic properties," Papers 0711.1836, arXiv.org, revised Dec 2007.
    4. Carmen Pellicer-Lostao & Ricardo Lopez-Ruiz, 2011. "Application of Chaotic Number Generators in Econophysics," Papers 1110.4506, arXiv.org, revised Oct 2011.

  25. Enrico Scalas, 2005. "Five Years of Continuous-time Random Walks in Econophysics," Papers cond-mat/0501261, arXiv.org.

    Cited by:

    1. Dupret, Jean-Loup & Hainaut, Donatien, 2022. "A subdiffusive stochastic volatility jump model," LIDAM Discussion Papers ISBA 2022001, Université catholique de Louvain, Institute of Statistics, Biostatistics and Actuarial Sciences (ISBA).
    2. Torricelli, Lorenzo, 2020. "Trade duration risk in subdiffusive financial models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 541(C).
    3. Enrico Scalas & Mauro Gallegati & Eric Guerci & David Mas & Alessandra Tedeschi, 2006. "Growth and Allocation of Resources in Economics: The Agent-Based Approach," Papers physics/0608221, arXiv.org.
    4. Hainaut, Donatien & Leonenko, Nikolai, 2020. "Option pricing in illiquid markets: a fractional jump-diffusion approach," LIDAM Discussion Papers ISBA 2020003, Université catholique de Louvain, Institute of Statistics, Biostatistics and Actuarial Sciences (ISBA).
    5. Leonenko, N.N. & Papić, I. & Sikorskii, A. & Šuvak, N., 2017. "Heavy-tailed fractional Pearson diffusions," Stochastic Processes and their Applications, Elsevier, vol. 127(11), pages 3512-3535.
    6. Paulo Jorge Silveira Ferreira, 2012. "Testing serial dependence in the stock markets of the G7 countries, Portugal, Spain and Greece," CEFAGE-UE Working Papers 2012_24, University of Evora, CEFAGE-UE (Portugal).
    7. Meerschaert, Mark M. & Nane, Erkan & Xiao, Yimin, 2009. "Correlated continuous time random walks," Statistics & Probability Letters, Elsevier, vol. 79(9), pages 1194-1202, May.
    8. Ketelbuters, John-John & Hainaut, Donatien, 2022. "CDS pricing with fractional Hawkes processes," European Journal of Operational Research, Elsevier, vol. 297(3), pages 1139-1150.
    9. Hainaut, Donatien, 2020. "Fractional Hawkes processes," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 549(C).
    10. Hainaut, Donatien, 2020. "Credit risk modelling with fractional self-excited processes," LIDAM Discussion Papers ISBA 2020002, Université catholique de Louvain, Institute of Statistics, Biostatistics and Actuarial Sciences (ISBA).
    11. Vasily E. Tarasov, 2019. "On History of Mathematical Economics: Application of Fractional Calculus," Mathematics, MDPI, vol. 7(6), pages 1-28, June.
    12. Tarasov, Vasily E., 2020. "Fractional econophysics: Market price dynamics with memory effects," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 557(C).
    13. Jaros{l}aw Klamut & Tomasz Gubiec, 2018. "Directed Continuous-Time Random Walk with memory," Papers 1807.01934, arXiv.org.
    14. Tomasz Gubiec & Ryszard Kutner, 2017. "Continuous-Time Random Walk with multi-step memory: an application to market dynamics," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 90(11), pages 1-15, November.
    15. Valentina V. Tarasova & Vasily E. Tarasov, 2017. "Concept of dynamic memory in economics," Papers 1712.09088, arXiv.org.
    16. Kumar, A. & Meerschaert, Mark M. & Vellaisamy, P., 2011. "Fractional normal inverse Gaussian diffusion," Statistics & Probability Letters, Elsevier, vol. 81(1), pages 146-152, January.
    17. Hainaut, Donatien, 2019. "Credit risk modelling with fractional self-excited processes," LIDAM Discussion Papers ISBA 2019027, Université catholique de Louvain, Institute of Statistics, Biostatistics and Actuarial Sciences (ISBA).
    18. Meerschaert, Mark M. & Toaldo, Bruno, 2019. "Relaxation patterns and semi-Markov dynamics," Stochastic Processes and their Applications, Elsevier, vol. 129(8), pages 2850-2879.
    19. Hainaut, Donatien, 2019. "Fractional Hawkes processes," LIDAM Discussion Papers ISBA 2019016, Université catholique de Louvain, Institute of Statistics, Biostatistics and Actuarial Sciences (ISBA).

  26. Enrico Scalas, 2005. "Basel II for Physicists: A Discussion Paper," Papers cond-mat/0501320, arXiv.org.

    Cited by:

    1. Situngkir, Hokky & Surya, Yohanes, 2006. "Kerangka Kerja Ekonofisika dalam Basel II," MPRA Paper 896, University Library of Munich, Germany.

  27. T. Di Matteo & M. Airoldi & E. Scalas, 2004. "On pricing of interest rate derivatives," Papers cond-mat/0401445, arXiv.org.

    Cited by:

    1. Covarrubias, Guillermo & Ewing, Bradley T. & Hein, Scott E. & Thompson, Mark A., 2006. "Modeling volatility changes in the 10-year Treasury," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 369(2), pages 737-744.
    2. Bueno-Guerrero, Alberto, 2022. "A Quantum Mechanics for interest rate derivatives markets," Chaos, Solitons & Fractals, Elsevier, vol. 155(C).

  28. Enrico Scalas & Rudolf Gorenflo & Francesco Mainardi & Maurizio Mantelli & Marco Raberto, 2003. "Anomalous waiting times in high-frequency financial data," Papers cond-mat/0310305, arXiv.org.

    Cited by:

    1. Takero Ibuki & Jun-ichi Inoue, 2011. "Response of double-auction markets to instantaneous Selling–Buying signals with stochastic Bid–Ask spread," Journal of Economic Interaction and Coordination, Springer;Society for Economic Science with Heterogeneous Interacting Agents, vol. 6(2), pages 93-120, November.
    2. Zhi-Qiang Jiang & Wei Chen & Wei-Xing Zhou, 2008. "Detrended fluctuation analysis of intertrade durations," Papers 0806.2444, arXiv.org.
    3. Enrico Scalas, 2006. "Five Years of Continuous-time Random Walks in Econophysics," Lecture Notes in Economics and Mathematical Systems, in: Akira Namatame & Taisei Kaizouji & Yuuji Aruka (ed.), The Complex Networks of Economic Interactions, pages 3-16, Springer.
    4. Enrico Scalas & Taisei Kaizoji & Michael Kirchler & Juergen Huber & Alessandra Tedeschi, 2006. "Waiting times between orders and trades in double-auction markets," Papers physics/0608273, arXiv.org.
    5. Politi, Mauro & Scalas, Enrico, 2007. "Activity spectrum from waiting-time distribution," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 383(1), pages 43-48.
    6. Fei Ren & Gao-Feng Gu & Wei-Xing Zhou, 2009. "Scaling and memory in the return intervals of realized volatility," Papers 0904.1107, arXiv.org, revised Aug 2009.
    7. Linda Ponta & Mailan Trinh & Marco Raberto & Enrico Scalas & Silvano Cincotti, 2012. "Modeling non-stationarities in high-frequency financial time series," Papers 1212.0479, arXiv.org, revised Feb 2017.
    8. Kaizoji, Taisei & Kaizoji, Michiyo, 2004. "Power law for the calm-time interval of price changes," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 336(3), pages 563-570.
    9. Enrico Scalas, 2006. "Mixtures of compound Poisson processes as models of tick-by-tick financial data," Papers physics/0608217, arXiv.org.
    10. Du, Bian & Zhu, Hongliang & Zhao, Jingdong, 2016. "Optimal execution in high-frequency trading with Bayesian learning," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 461(C), pages 767-777.
    11. Ren, Fei & Guo, Liang & Zhou, Wei-Xing, 2009. "Statistical properties of volatility return intervals of Chinese stocks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(6), pages 881-890.
    12. James Primbs & Muruhan Rathinam, 2009. "Trader Behavior and its Effect on Asset Price Dynamics," Applied Mathematical Finance, Taylor & Francis Journals, vol. 16(2), pages 151-181.
    13. Álvaro Cartea, 2013. "Derivatives pricing with marked point processes using tick-by-tick data," Quantitative Finance, Taylor & Francis Journals, vol. 13(1), pages 111-123, January.
    14. Niu, Hongli & Wang, Jun & Lu, Yunfan, 2016. "Fluctuation behaviors of financial return volatility duration," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 448(C), pages 30-40.
    15. Jiang, Zhi-Qiang & Chen, Wei & Zhou, Wei-Xing, 2008. "Scaling in the distribution of intertrade durations of Chinese stocks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(23), pages 5818-5825.
    16. Langlands, T.A.M., 2006. "Solution of a modified fractional diffusion equation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 367(C), pages 136-144.
    17. Xiao-Hui Ni & Zhi-Qiang Jiang & Gao-Feng Gu & Fei Ren & Wei Chen & Wei-Xing Zhou, 2009. "Scaling and memory in the non-poisson process of limit order cancelation," Papers 0911.0057, arXiv.org.
    18. Bertram, William K., 2008. "Measuring time dependent volatility and cross-sectional correlation in Australian equity returns," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(13), pages 3183-3191.
    19. Yong-Ping Ruan & Wei-Xing Zhou, 2010. "Long-term correlations and multifractal nature in the intertrade durations of a liquid Chinese stock and its warrant," Papers 1008.0160, arXiv.org.
    20. Vasily E. Tarasov, 2019. "On History of Mathematical Economics: Application of Fractional Calculus," Mathematics, MDPI, vol. 7(6), pages 1-28, June.
    21. Tarasov, Vasily E., 2020. "Fractional econophysics: Market price dynamics with memory effects," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 557(C).
    22. Magdalena Osinska & Andrzej Dobrzynski & Yochanan Shachmurove, 2016. "Performance Of American And Russian Joint Stock Companies On Financial Market. A Microstructure Perspective," Equilibrium. Quarterly Journal of Economics and Economic Policy, Institute of Economic Research, vol. 11(4), pages 819-851, December.
    23. Rafal Weron & Ingve Simonsen, 2005. "Blackouts, risk, and fat-tailed distributions," Risk and Insurance 0510001, University Library of Munich, Germany.
    24. Scalas, Enrico, 2006. "The application of continuous-time random walks in finance and economics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 362(2), pages 225-239.

  29. M. Raberto & E. Scalas & F. Mainardi, 2002. "Waiting-times and returns in high-frequency financial data: an empirical study," Papers cond-mat/0203596, arXiv.org.

    Cited by:

    1. Zhi-Qiang Jiang & Wei Chen & Wei-Xing Zhou, 2008. "Detrended fluctuation analysis of intertrade durations," Papers 0806.2444, arXiv.org.
    2. Enrico Scalas & Rudolf Gorenflo & Francesco Mainardi & Maurizio Mantelli & Marco Raberto, 2003. "Anomalous waiting times in high-frequency financial data," Papers cond-mat/0310305, arXiv.org.
    3. Greenwood, Priscilla E. & Schick, Anton & Wefelmeyer, Wolfgang, 2011. "Estimating the inter-arrival time density of Markov renewal processes under structural assumptions on the transition distribution," Statistics & Probability Letters, Elsevier, vol. 81(2), pages 277-282, February.
    4. Enrico Scalas & Mauro Politi, 2012. "A parsimonious model for intraday European option pricing," Papers 1202.4332, arXiv.org.
    5. Viktor Stojkoski & Trifce Sandev & Lasko Basnarkov & Ljupco Kocarev & Ralf Metzler, 2020. "Generalised geometric Brownian motion: Theory and applications to option pricing," Papers 2011.00312, arXiv.org.
    6. Treena Basu, 2015. "A Fast O ( N log N ) Finite Difference Method for the One-Dimensional Space-Fractional Diffusion Equation," Mathematics, MDPI, vol. 3(4), pages 1-13, October.
    7. Straka, P. & Henry, B.I., 2011. "Lagging and leading coupled continuous time random walks, renewal times and their joint limits," Stochastic Processes and their Applications, Elsevier, vol. 121(2), pages 324-336, February.
    8. Enrico Scalas, 2006. "Five Years of Continuous-time Random Walks in Econophysics," Lecture Notes in Economics and Mathematical Systems, in: Akira Namatame & Taisei Kaizouji & Yuuji Aruka (ed.), The Complex Networks of Economic Interactions, pages 3-16, Springer.
    9. Cappellini, Alessandro & Ferraris, Gianluigi, 2007. "Waiting Times in Simulated Stock Markets," MPRA Paper 7324, University Library of Munich, Germany.
    10. Shapoval, A., 2010. "Prediction problem for target events based on the inter-event waiting time," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(22), pages 5145-5154.
    11. Xing, Zhiyong & Wen, Liping, 2019. "Numerical analysis and fast implementation of a fourth-order difference scheme for two-dimensional space-fractional diffusion equations," Applied Mathematics and Computation, Elsevier, vol. 346(C), pages 155-166.
    12. Jacopo Staccioli & Mauro Napoletano, 2021. "An agent-based model of intra-day financial markets dynamics," Post-Print halshs-03046657, HAL.
    13. Enrico Scalas & Taisei Kaizoji & Michael Kirchler & Juergen Huber & Alessandra Tedeschi, 2006. "Waiting times between orders and trades in double-auction markets," Papers physics/0608273, arXiv.org.
    14. Meerschaert, Mark M. & Scheffler, Hans-Peter, 2008. "Triangular array limits for continuous time random walks," Stochastic Processes and their Applications, Elsevier, vol. 118(9), pages 1606-1633, September.
    15. G. D'Amico & F. Petroni & F. Prattico, 2013. "Semi-Markov Models in High Frequency Finance: A Review," Papers 1312.3894, arXiv.org.
    16. Torricelli, Lorenzo, 2020. "Trade duration risk in subdiffusive financial models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 541(C).
    17. Linda Ponta & Mailan Trinh & Marco Raberto & Enrico Scalas & Silvano Cincotti, 2012. "Modeling non-stationarities in high-frequency financial time series," Papers 1212.0479, arXiv.org, revised Feb 2017.
    18. Liu, Haiyu & Lü, Shujuan, 2019. "Galerkin spectral method for nonlinear time fractional Cable equation with smooth and nonsmooth solutions," Applied Mathematics and Computation, Elsevier, vol. 350(C), pages 32-47.
    19. Wael W. Mohammed & Mohammed Alshammari & Clemente Cesarano & Sultan Albadrani & M. El-Morshedy, 2022. "Brownian Motion Effects on the Stabilization of Stochastic Solutions to Fractional Diffusion Equations with Polynomials," Mathematics, MDPI, vol. 10(9), pages 1-9, April.
    20. Enrico Scalas, 2006. "Mixtures of compound Poisson processes as models of tick-by-tick financial data," Papers physics/0608217, arXiv.org.
    21. Amin, Rohul & Ahmad, Hijaz & Shah, Kamal & Bilal Hafeez, M. & Sumelka, W., 2021. "Theoretical and computational analysis of nonlinear fractional integro-differential equations via collocation method," Chaos, Solitons & Fractals, Elsevier, vol. 151(C).
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    23. Valentina V. Tarasova & Vasily E. Tarasov, 2017. "Dynamic intersectoral models with power-law memory," Papers 1712.09087, arXiv.org.
    24. Wael W. Mohammed & Meshari Alesemi & Sahar Albosaily & Naveed Iqbal & M. El-Morshedy, 2021. "The Exact Solutions of Stochastic Fractional-Space Kuramoto-Sivashinsky Equation by Using ( G ′ G )-Expansion Method," Mathematics, MDPI, vol. 9(21), pages 1-10, October.
    25. José A. Tenreiro Machado & Maria Eugénia Mata & António M. Lopes, 2020. "Fractional Dynamics and Pseudo-Phase Space of Country Economic Processes," Mathematics, MDPI, vol. 8(1), pages 1-17, January.
    26. Xian, Jun & Yan, Xiong-bin & Wei, Ting, 2020. "Simultaneous identification of three parameters in a time-fractional diffusion-wave equation by a part of boundary Cauchy data," Applied Mathematics and Computation, Elsevier, vol. 384(C).
    27. Schumer, Rina & Baeumer, Boris & Meerschaert, Mark M., 2011. "Extremal behavior of a coupled continuous time random walk," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(3), pages 505-511.
    28. Masoliver, Jaume & Montero, Miquel & Perello, Josep & Weiss, George H., 2006. "The continuous time random walk formalism in financial markets," Journal of Economic Behavior & Organization, Elsevier, vol. 61(4), pages 577-598, December.
    29. Yonggang Chen & Yu Qiao & Xiangtuan Xiong, 2022. "Regularization Error Analysis for a Sideways Problem of the 2D Nonhomogeneous Time-Fractional Diffusion Equation," Mathematics, MDPI, vol. 10(10), pages 1-14, May.
    30. Zhang, Z.Q. & Wei, T., 2013. "An optimal regularization method for space-fractional backward diffusion problem," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 92(C), pages 14-27.
    31. Jiang, Zhi-Qiang & Chen, Wei & Zhou, Wei-Xing, 2008. "Scaling in the distribution of intertrade durations of Chinese stocks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(23), pages 5818-5825.
    32. Taohua Liu & Xiucao Yin & Yinghao Chen & Muzhou Hou, 2023. "A Second-Order Accurate Numerical Approximation for a Two-Sided Space-Fractional Diffusion Equation," Mathematics, MDPI, vol. 11(8), pages 1-15, April.
    33. Owolabi, Kolade M. & Gómez-Aguilar, J.F., 2018. "Numerical simulations of multilingual competition dynamics with nonlocal derivative," Chaos, Solitons & Fractals, Elsevier, vol. 117(C), pages 175-182.
    34. Langlands, T.A.M., 2006. "Solution of a modified fractional diffusion equation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 367(C), pages 136-144.
    35. Wael W. Mohammed & Naveed Iqbal & Thongchai Botmart, 2022. "Additive Noise Effects on the Stabilization of Fractional-Space Diffusion Equation Solutions," Mathematics, MDPI, vol. 10(1), pages 1-14, January.
    36. Guglielmo D'Amico & Filippo Petroni, 2012. "Weighted-indexed semi-Markov models for modeling financial returns," Papers 1205.2551, arXiv.org, revised Jun 2012.
    37. Yang, Hong & Lao, Cheng-Xue & She, Zi-Hang, 2023. "Fast solution methods for Riesz space fractional diffusion equations with non-separable coefficients," Applied Mathematics and Computation, Elsevier, vol. 445(C).
    38. Hamid, M. & Usman, M. & Haq, R.U. & Wang, W., 2020. "A Chelyshkov polynomial based algorithm to analyze the transport dynamics and anomalous diffusion in fractional model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 551(C).
    39. Feng, L.B. & Zhuang, P. & Liu, F. & Turner, I., 2015. "Stability and convergence of a new finite volume method for a two-sided space-fractional diffusion equation," Applied Mathematics and Computation, Elsevier, vol. 257(C), pages 52-65.
    40. Plamen Ch Ivanov & Ainslie Yuen & Pandelis Perakakis, 2014. "Impact of Stock Market Structure on Intertrade Time and Price Dynamics," PLOS ONE, Public Library of Science, vol. 9(4), pages 1-14, April.
    41. Guglielmo D'Amico & Filippo Petroni, 2011. "A semi-Markov model with memory for price changes," Papers 1109.4259, arXiv.org, revised Dec 2011.
    42. Xiao-Hui Ni & Zhi-Qiang Jiang & Gao-Feng Gu & Fei Ren & Wei Chen & Wei-Xing Zhou, 2009. "Scaling and memory in the non-poisson process of limit order cancelation," Papers 0911.0057, arXiv.org.
    43. Meerschaert, Mark M. & Scalas, Enrico, 2006. "Coupled continuous time random walks in finance," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 370(1), pages 114-118.
    44. Yong-Ping Ruan & Wei-Xing Zhou, 2010. "Long-term correlations and multifractal nature in the intertrade durations of a liquid Chinese stock and its warrant," Papers 1008.0160, arXiv.org.
    45. Berardi, Luca & Serva, Maurizio, 2005. "Time and foreign exchange markets," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 353(C), pages 403-412.
    46. Zhang, Zhikun & Dai, Min & Wang, Xiangjun, 2023. "Statistical inference for mixed jump processes by Markov switching model with application to identify seismicity levels," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 632(P1).
    47. Vasily E. Tarasov, 2019. "On History of Mathematical Economics: Application of Fractional Calculus," Mathematics, MDPI, vol. 7(6), pages 1-28, June.
    48. Scalas, Enrico & Viles, Noèlia, 2014. "A functional limit theorem for stochastic integrals driven by a time-changed symmetric α-stable Lévy process," Stochastic Processes and their Applications, Elsevier, vol. 124(1), pages 385-410.
    49. Tarasov, Vasily E., 2020. "Fractional econophysics: Market price dynamics with memory effects," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 557(C).
    50. Cen, Zhongdi & Le, Anbo & Xu, Aimin, 2017. "A robust numerical method for a fractional differential equation," Applied Mathematics and Computation, Elsevier, vol. 315(C), pages 445-452.
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    52. Jaros{l}aw Klamut & Tomasz Gubiec, 2018. "Directed Continuous-Time Random Walk with memory," Papers 1807.01934, arXiv.org.
    53. Yang, Fan & Fu, Chu-Li & Li, Xiao-Xiao, 2018. "The method of simplified Tikhonov regularization for a time-fractional inverse diffusion problem," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 144(C), pages 219-234.
    54. Valentina V. Tarasova & Vasily E. Tarasov, 2017. "Concept of dynamic memory in economics," Papers 1712.09088, arXiv.org.
    55. Mariano González-Sánchez & Eva M. Ibáñez Jiménez & Ana I. Segovia San Juan, 2021. "Market and Liquidity Risks Using Transaction-by-Transaction Information," Mathematics, MDPI, vol. 9(14), pages 1-14, July.
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    2. Valentina V. Tarasova & Vasily E. Tarasov, 2016. "Fractional Dynamics of Natural Growth and Memory Effect in Economics," Papers 1612.09060, arXiv.org, revised Jan 2017.
    3. Düring, B. & Toscani, Giuseppe, 2007. "Hydrodynamics from kinetic models of conservative economies," CoFE Discussion Papers 07/06, University of Konstanz, Center of Finance and Econometrics (CoFE).
    4. Hussam Aljarrah & Mohammad Alaroud & Anuar Ishak & Maslina Darus, 2022. "Approximate Solution of Nonlinear Time-Fractional PDEs by Laplace Residual Power Series Method," Mathematics, MDPI, vol. 10(12), pages 1-16, June.
    5. Jiang, Yubing & Chen, Hu & Sun, Tao & Huang, Chaobao, 2024. "Efficient L1-ADI finite difference method for the two-dimensional nonlinear time-fractional diffusion equation," Applied Mathematics and Computation, Elsevier, vol. 471(C).
    6. Hayashi, Katsuhiko & Kaizoji, Taisei & Pichl, Lukáš, 2007. "Correlation patterns of NIKKEI index constituents," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 383(1), pages 16-21.
    7. Zhi-Qiang Jiang & Wei Chen & Wei-Xing Zhou, 2008. "Detrended fluctuation analysis of intertrade durations," Papers 0806.2444, arXiv.org.
    8. Marseguerra, Marzio & Zoia, Andrea, 2008. "Pre-asymptotic corrections to fractional diffusion equations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(12), pages 2668-2674.
    9. Afzaal Mubashir Hayat & Muhammad Bilal Riaz & Muhammad Abbas & Moataz Alosaimi & Adil Jhangeer & Tahir Nazir, 2024. "Numerical Solution to the Time-Fractional Burgers–Huxley Equation Involving the Mittag-Leffler Function," Mathematics, MDPI, vol. 12(13), pages 1-22, July.
    10. Enrico Scalas & Rudolf Gorenflo & Francesco Mainardi & Maurizio Mantelli & Marco Raberto, 2003. "Anomalous waiting times in high-frequency financial data," Papers cond-mat/0310305, arXiv.org.
    11. Enrico Scalas & Mauro Politi, 2012. "A parsimonious model for intraday European option pricing," Papers 1202.4332, arXiv.org.
    12. Jajarmi, Amin & Hajipour, Mojtaba & Baleanu, Dumitru, 2017. "New aspects of the adaptive synchronization and hyperchaos suppression of a financial model," Chaos, Solitons & Fractals, Elsevier, vol. 99(C), pages 285-296.
    13. Straka, P. & Henry, B.I., 2011. "Lagging and leading coupled continuous time random walks, renewal times and their joint limits," Stochastic Processes and their Applications, Elsevier, vol. 121(2), pages 324-336, February.
    14. Enrico Scalas, 2006. "Five Years of Continuous-time Random Walks in Econophysics," Lecture Notes in Economics and Mathematical Systems, in: Akira Namatame & Taisei Kaizouji & Yuuji Aruka (ed.), The Complex Networks of Economic Interactions, pages 3-16, Springer.
    15. Zheng, Guang-Hui & Zhang, Quan-Guo, 2018. "Solving the backward problem for space-fractional diffusion equation by a fractional Tikhonov regularization method," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 148(C), pages 37-47.
    16. Mainardi, Francesco & Raberto, Marco & Gorenflo, Rudolf & Scalas, Enrico, 2000. "Fractional calculus and continuous-time finance II: the waiting-time distribution," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 287(3), pages 468-481.
    17. Fabio Vanni & David Lambert, 2024. "Aging Renewal Point Processes and Exchangeability of Event Times," Mathematics, MDPI, vol. 12(10), pages 1-26, May.
    18. M. Raberto & E. Scalas & F. Mainardi, 2002. "Waiting-times and returns in high-frequency financial data: an empirical study," Papers cond-mat/0203596, arXiv.org.
    19. Chu, Yu-Ming & Bekiros, Stelios & Zambrano-Serrano, Ernesto & Orozco-López, Onofre & Lahmiri, Salim & Jahanshahi, Hadi & Aly, Ayman A., 2021. "Artificial macro-economics: A chaotic discrete-time fractional-order laboratory model," Chaos, Solitons & Fractals, Elsevier, vol. 145(C).
    20. Lemmens, D. & Liang, L.Z.J. & Tempere, J. & De Schepper, A., 2010. "Pricing bounds for discrete arithmetic Asian options under Lévy models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(22), pages 5193-5207.
    21. Enrico Scalas & Taisei Kaizoji & Michael Kirchler & Juergen Huber & Alessandra Tedeschi, 2006. "Waiting times between orders and trades in double-auction markets," Papers physics/0608273, arXiv.org.
    22. Meerschaert, Mark M. & Scheffler, Hans-Peter, 2008. "Triangular array limits for continuous time random walks," Stochastic Processes and their Applications, Elsevier, vol. 118(9), pages 1606-1633, September.
    23. Fan Yang & Ping Fan & Xiao-Xiao Li & Xin-Yi Ma, 2019. "Fourier Truncation Regularization Method for a Time-Fractional Backward Diffusion Problem with a Nonlinear Source," Mathematics, MDPI, vol. 7(9), pages 1-13, September.
    24. Torricelli, Lorenzo, 2020. "Trade duration risk in subdiffusive financial models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 541(C).
    25. Fei Ren & Gao-Feng Gu & Wei-Xing Zhou, 2009. "Scaling and memory in the return intervals of realized volatility," Papers 0904.1107, arXiv.org, revised Aug 2009.
    26. Linda Ponta & Mailan Trinh & Marco Raberto & Enrico Scalas & Silvano Cincotti, 2012. "Modeling non-stationarities in high-frequency financial time series," Papers 1212.0479, arXiv.org, revised Feb 2017.
    27. Hajipour, Ahamad & Hajipour, Mojtaba & Baleanu, Dumitru, 2018. "On the adaptive sliding mode controller for a hyperchaotic fractional-order financial system," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 497(C), pages 139-153.
    28. Enrico Scalas, 2006. "Mixtures of compound Poisson processes as models of tick-by-tick financial data," Papers physics/0608217, arXiv.org.
    29. Tomas Skovranek, 2019. "The Mittag-Leffler Fitting of the Phillips Curve," Mathematics, MDPI, vol. 7(7), pages 1-11, July.
    30. Hosseininia, M. & Heydari, M.H., 2019. "Legendre wavelets for the numerical solution of nonlinear variable-order time fractional 2D reaction-diffusion equation involving Mittag–Leffler non-singular kernel," Chaos, Solitons & Fractals, Elsevier, vol. 127(C), pages 400-407.
    31. Sazuka, Naoya & Inoue, Jun-ichi & Scalas, Enrico, 2009. "The distribution of first-passage times and durations in FOREX and future markets," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(14), pages 2839-2853.
    32. Almaguer, F-Javier & Amezcua, Omar González & Morales-Castillo, Javier & Soto-Villalobos, Roberto, 2018. "Riemann and Weierstrass walks revisited," Applied Mathematics and Computation, Elsevier, vol. 319(C), pages 518-526.
    33. Valentina V. Tarasova & Vasily E. Tarasov, 2017. "Dynamic intersectoral models with power-law memory," Papers 1712.09087, arXiv.org.
    34. Álvaro Cartea, 2013. "Derivatives pricing with marked point processes using tick-by-tick data," Quantitative Finance, Taylor & Francis Journals, vol. 13(1), pages 111-123, January.
    35. Ali Hosseiny & Mohammadreza Absalan & Mohammad Sherafati & Mauro Gallegati, 2018. "Hysteresis of economic networks in an XY model," Papers 1808.03404, arXiv.org.
    36. Mohamed Jleli & Bessem Samet, 2019. "Sufficient Criteria for the Absence of Global Solutions for an Inhomogeneous System of Fractional Differential Equations," Mathematics, MDPI, vol. 8(1), pages 1-8, December.
    37. Alvaro Cartea & Diego del-Castillo-Negrete, 2006. "Fractional Diffusion Models of Option Prices in Markets with Jumps," Birkbeck Working Papers in Economics and Finance 0604, Birkbeck, Department of Economics, Mathematics & Statistics.
    38. Gerd Baumann & Frank Stenger, 2017. "Fractional Fokker-Planck Equation," Mathematics, MDPI, vol. 5(1), pages 1-19, February.
    39. Marseguerra, M. & Zoia, A., 2008. "Monte Carlo evaluation of FADE approach to anomalous kinetics," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 77(4), pages 345-357.
    40. Cartea, Álvaro & Meyer-Brandis, Thilo, 2009. "How Duration Between Trades of Underlying Securities Affects Option Prices," MPRA Paper 16179, University Library of Munich, Germany.
    41. Enrico Scalas & Mauro Gallegati & Eric Guerci & David Mas & Alessandra Tedeschi, 2006. "Growth and Allocation of Resources in Economics: The Agent-Based Approach," Papers physics/0608221, arXiv.org.
    42. Schumer, Rina & Baeumer, Boris & Meerschaert, Mark M., 2011. "Extremal behavior of a coupled continuous time random walk," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(3), pages 505-511.
    43. Masoliver, Jaume & Montero, Miquel & Perello, Josep & Weiss, George H., 2006. "The continuous time random walk formalism in financial markets," Journal of Economic Behavior & Organization, Elsevier, vol. 61(4), pages 577-598, December.
    44. Masanao AOKI, 2007. "Patterns of Non-exponential Growth of Macroeconomic Models: Two-Parameter Poisson-Dirichlet Models," Rivista Internazionale di Scienze Sociali, Vita e Pensiero, Pubblicazioni dell'Universita' Cattolica del Sacro Cuore, vol. 115(1), pages 109-125.
    45. Hosseininia, M. & Heydari, M.H., 2019. "Meshfree moving least squares method for nonlinear variable-order time fractional 2D telegraph equation involving Mittag–Leffler non-singular kernel," Chaos, Solitons & Fractals, Elsevier, vol. 127(C), pages 389-399.
    46. Nandal, Sarita & Narain Pandey, Dwijendra, 2020. "Numerical solution of non-linear fourth order fractional sub-diffusion wave equation with time delay," Applied Mathematics and Computation, Elsevier, vol. 369(C).
    47. Piryatinska, A. & Saichev, A.I. & Woyczynski, W.A., 2005. "Models of anomalous diffusion: the subdiffusive case," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 349(3), pages 375-420.
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    49. Svenkeson, A. & Beig, M.T. & Turalska, M. & West, B.J. & Grigolini, P., 2013. "Fractional trajectories: Decorrelation versus friction," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(22), pages 5663-5672.
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    107. Qing Tang & Fabio Camilli, 2020. "Variational Time-Fractional Mean Field Games," Dynamic Games and Applications, Springer, vol. 10(2), pages 573-588, June.
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    109. El-Ajou, Ahmad & Abu Arqub, Omar & Momani, Shaher & Baleanu, Dumitru & Alsaedi, Ahmed, 2015. "A novel expansion iterative method for solving linear partial differential equations of fractional order," Applied Mathematics and Computation, Elsevier, vol. 257(C), pages 119-133.
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    112. Kuroda, Koji & Murai, Joshin, 2007. "Limit theorems in financial market models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 383(1), pages 28-34.
    113. Samir A. El-Tantawy & Rasool Shah & Albandari W. Alrowaily & Nehad Ali Shah & Jae Dong Chung & Sherif. M. E. Ismaeel, 2023. "A Comparative Study of the Fractional-Order Belousov–Zhabotinsky System," Mathematics, MDPI, vol. 11(7), pages 1-15, April.
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  31. Marco Raberto & Enrico Scalas & Rudolf Gorenflo & Francesco Mainardi, 2000. "The waiting-time distribution of LIFFE bond futures," Papers cond-mat/0012497, arXiv.org.

    Cited by:

    1. Kaizoji, Taisei & Kaizoji, Michiyo, 2004. "Power law for the calm-time interval of price changes," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 336(3), pages 563-570.

  32. Francesco Mainardi & Marco Raberto & Rudolf Gorenflo & Enrico Scalas, 2000. "Fractional calculus and continuous-time finance II: the waiting-time distribution," Papers cond-mat/0006454, arXiv.org, revised Nov 2000.

    Cited by:

    1. Chu, Yu-Ming & Khan, M. Saqib & Abbas, Mujahid & Ali, Shafqat & Nazeer, Waqas, 2022. "On characterizing of bifurcation and stability analysis for time fractional glycolysis model," Chaos, Solitons & Fractals, Elsevier, vol. 165(P2).
    2. Valentina V. Tarasova & Vasily E. Tarasov, 2016. "Fractional Dynamics of Natural Growth and Memory Effect in Economics," Papers 1612.09060, arXiv.org, revised Jan 2017.
    3. Düring, B. & Toscani, Giuseppe, 2007. "Hydrodynamics from kinetic models of conservative economies," CoFE Discussion Papers 07/06, University of Konstanz, Center of Finance and Econometrics (CoFE).
    4. Hussam Aljarrah & Mohammad Alaroud & Anuar Ishak & Maslina Darus, 2022. "Approximate Solution of Nonlinear Time-Fractional PDEs by Laplace Residual Power Series Method," Mathematics, MDPI, vol. 10(12), pages 1-16, June.
    5. Jiang, Yubing & Chen, Hu & Sun, Tao & Huang, Chaobao, 2024. "Efficient L1-ADI finite difference method for the two-dimensional nonlinear time-fractional diffusion equation," Applied Mathematics and Computation, Elsevier, vol. 471(C).
    6. Hayashi, Katsuhiko & Kaizoji, Taisei & Pichl, Lukáš, 2007. "Correlation patterns of NIKKEI index constituents," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 383(1), pages 16-21.
    7. Zhi-Qiang Jiang & Wei Chen & Wei-Xing Zhou, 2008. "Detrended fluctuation analysis of intertrade durations," Papers 0806.2444, arXiv.org.
    8. Marseguerra, Marzio & Zoia, Andrea, 2008. "Pre-asymptotic corrections to fractional diffusion equations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(12), pages 2668-2674.
    9. Afzaal Mubashir Hayat & Muhammad Bilal Riaz & Muhammad Abbas & Moataz Alosaimi & Adil Jhangeer & Tahir Nazir, 2024. "Numerical Solution to the Time-Fractional Burgers–Huxley Equation Involving the Mittag-Leffler Function," Mathematics, MDPI, vol. 12(13), pages 1-22, July.
    10. Enrico Scalas & Rudolf Gorenflo & Francesco Mainardi & Maurizio Mantelli & Marco Raberto, 2003. "Anomalous waiting times in high-frequency financial data," Papers cond-mat/0310305, arXiv.org.
    11. Enrico Scalas & Mauro Politi, 2012. "A parsimonious model for intraday European option pricing," Papers 1202.4332, arXiv.org.
    12. Jajarmi, Amin & Hajipour, Mojtaba & Baleanu, Dumitru, 2017. "New aspects of the adaptive synchronization and hyperchaos suppression of a financial model," Chaos, Solitons & Fractals, Elsevier, vol. 99(C), pages 285-296.
    13. Enrico Scalas, 2006. "Five Years of Continuous-time Random Walks in Econophysics," Lecture Notes in Economics and Mathematical Systems, in: Akira Namatame & Taisei Kaizouji & Yuuji Aruka (ed.), The Complex Networks of Economic Interactions, pages 3-16, Springer.
    14. Zheng, Guang-Hui & Zhang, Quan-Guo, 2018. "Solving the backward problem for space-fractional diffusion equation by a fractional Tikhonov regularization method," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 148(C), pages 37-47.
    15. Mainardi, Francesco & Raberto, Marco & Gorenflo, Rudolf & Scalas, Enrico, 2000. "Fractional calculus and continuous-time finance II: the waiting-time distribution," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 287(3), pages 468-481.
    16. Fabio Vanni & David Lambert, 2024. "Aging Renewal Point Processes and Exchangeability of Event Times," Mathematics, MDPI, vol. 12(10), pages 1-26, May.
    17. M. Raberto & E. Scalas & F. Mainardi, 2002. "Waiting-times and returns in high-frequency financial data: an empirical study," Papers cond-mat/0203596, arXiv.org.
    18. Chu, Yu-Ming & Bekiros, Stelios & Zambrano-Serrano, Ernesto & Orozco-López, Onofre & Lahmiri, Salim & Jahanshahi, Hadi & Aly, Ayman A., 2021. "Artificial macro-economics: A chaotic discrete-time fractional-order laboratory model," Chaos, Solitons & Fractals, Elsevier, vol. 145(C).
    19. Firoozjaee, M.A. & Yousefi, S.A., 2018. "A numerical approach for fractional partial differential equations by using Ritz approximation," Applied Mathematics and Computation, Elsevier, vol. 338(C), pages 711-721.
    20. Enrico Scalas & Taisei Kaizoji & Michael Kirchler & Juergen Huber & Alessandra Tedeschi, 2006. "Waiting times between orders and trades in double-auction markets," Papers physics/0608273, arXiv.org.
    21. Meerschaert, Mark M. & Scheffler, Hans-Peter, 2008. "Triangular array limits for continuous time random walks," Stochastic Processes and their Applications, Elsevier, vol. 118(9), pages 1606-1633, September.
    22. G. D'Amico & F. Petroni & F. Prattico, 2013. "Semi-Markov Models in High Frequency Finance: A Review," Papers 1312.3894, arXiv.org.
    23. Fan Yang & Ping Fan & Xiao-Xiao Li & Xin-Yi Ma, 2019. "Fourier Truncation Regularization Method for a Time-Fractional Backward Diffusion Problem with a Nonlinear Source," Mathematics, MDPI, vol. 7(9), pages 1-13, September.
    24. Torricelli, Lorenzo, 2020. "Trade duration risk in subdiffusive financial models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 541(C).
    25. Zhenping Li & Xiangtuan Xiong & Qiang Cheng, 2022. "Identifying the Unknown Source in Linear Parabolic Equation by a Convoluting Equation Method," Mathematics, MDPI, vol. 10(13), pages 1-17, June.
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    27. Linda Ponta & Mailan Trinh & Marco Raberto & Enrico Scalas & Silvano Cincotti, 2012. "Modeling non-stationarities in high-frequency financial time series," Papers 1212.0479, arXiv.org, revised Feb 2017.
    28. Hajipour, Ahamad & Hajipour, Mojtaba & Baleanu, Dumitru, 2018. "On the adaptive sliding mode controller for a hyperchaotic fractional-order financial system," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 497(C), pages 139-153.
    29. Enrico Scalas, 2006. "Mixtures of compound Poisson processes as models of tick-by-tick financial data," Papers physics/0608217, arXiv.org.
    30. Tomas Skovranek, 2019. "The Mittag-Leffler Fitting of the Phillips Curve," Mathematics, MDPI, vol. 7(7), pages 1-11, July.
    31. Hosseininia, M. & Heydari, M.H., 2019. "Legendre wavelets for the numerical solution of nonlinear variable-order time fractional 2D reaction-diffusion equation involving Mittag–Leffler non-singular kernel," Chaos, Solitons & Fractals, Elsevier, vol. 127(C), pages 400-407.
    32. Sazuka, Naoya & Inoue, Jun-ichi & Scalas, Enrico, 2009. "The distribution of first-passage times and durations in FOREX and future markets," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(14), pages 2839-2853.
    33. Almaguer, F-Javier & Amezcua, Omar González & Morales-Castillo, Javier & Soto-Villalobos, Roberto, 2018. "Riemann and Weierstrass walks revisited," Applied Mathematics and Computation, Elsevier, vol. 319(C), pages 518-526.
    34. Valentina V. Tarasova & Vasily E. Tarasov, 2017. "Dynamic intersectoral models with power-law memory," Papers 1712.09087, arXiv.org.
    35. Álvaro Cartea, 2013. "Derivatives pricing with marked point processes using tick-by-tick data," Quantitative Finance, Taylor & Francis Journals, vol. 13(1), pages 111-123, January.
    36. Ali Hosseiny & Mohammadreza Absalan & Mohammad Sherafati & Mauro Gallegati, 2018. "Hysteresis of economic networks in an XY model," Papers 1808.03404, arXiv.org.
    37. Alvaro Cartea & Diego del-Castillo-Negrete, 2006. "Fractional Diffusion Models of Option Prices in Markets with Jumps," Birkbeck Working Papers in Economics and Finance 0604, Birkbeck, Department of Economics, Mathematics & Statistics.
    38. Gerd Baumann & Frank Stenger, 2017. "Fractional Fokker-Planck Equation," Mathematics, MDPI, vol. 5(1), pages 1-19, February.
    39. Marseguerra, M. & Zoia, A., 2008. "Monte Carlo evaluation of FADE approach to anomalous kinetics," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 77(4), pages 345-357.
    40. Cartea, Álvaro & Meyer-Brandis, Thilo, 2009. "How Duration Between Trades of Underlying Securities Affects Option Prices," MPRA Paper 16179, University Library of Munich, Germany.
    41. Enrico Scalas & Mauro Gallegati & Eric Guerci & David Mas & Alessandra Tedeschi, 2006. "Growth and Allocation of Resources in Economics: The Agent-Based Approach," Papers physics/0608221, arXiv.org.
    42. Schumer, Rina & Baeumer, Boris & Meerschaert, Mark M., 2011. "Extremal behavior of a coupled continuous time random walk," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(3), pages 505-511.
    43. Masoliver, Jaume & Montero, Miquel & Perello, Josep & Weiss, George H., 2006. "The continuous time random walk formalism in financial markets," Journal of Economic Behavior & Organization, Elsevier, vol. 61(4), pages 577-598, December.
    44. Masanao AOKI, 2007. "Patterns of Non-exponential Growth of Macroeconomic Models: Two-Parameter Poisson-Dirichlet Models," Rivista Internazionale di Scienze Sociali, Vita e Pensiero, Pubblicazioni dell'Universita' Cattolica del Sacro Cuore, vol. 115(1), pages 109-125.
    45. Hosseininia, M. & Heydari, M.H., 2019. "Meshfree moving least squares method for nonlinear variable-order time fractional 2D telegraph equation involving Mittag–Leffler non-singular kernel," Chaos, Solitons & Fractals, Elsevier, vol. 127(C), pages 389-399.
    46. Nandal, Sarita & Narain Pandey, Dwijendra, 2020. "Numerical solution of non-linear fourth order fractional sub-diffusion wave equation with time delay," Applied Mathematics and Computation, Elsevier, vol. 369(C).
    47. Habyarimana, Cassien & Aduda, Jane A. & Scalas, Enrico & Chen, Jing & Hawkes, Alan G. & Polito, Federico, 2023. "A fractional Hawkes process II: Further characterization of the process," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 615(C).
    48. Piryatinska, A. & Saichev, A.I. & Woyczynski, W.A., 2005. "Models of anomalous diffusion: the subdiffusive case," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 349(3), pages 375-420.
    49. Jiang, Zhi-Qiang & Chen, Wei & Zhou, Wei-Xing, 2008. "Scaling in the distribution of intertrade durations of Chinese stocks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(23), pages 5818-5825.
    50. Svenkeson, A. & Beig, M.T. & Turalska, M. & West, B.J. & Grigolini, P., 2013. "Fractional trajectories: Decorrelation versus friction," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(22), pages 5663-5672.
    51. Saberi Zafarghandi, Fahimeh & Mohammadi, Maryam & Babolian, Esmail & Javadi, Shahnam, 2019. "Radial basis functions method for solving the fractional diffusion equations," Applied Mathematics and Computation, Elsevier, vol. 342(C), pages 224-246.
    52. Masanao Aoki, 2006. "Growth Patterns of Two Types of Macro-Models: Limiting Behavior of One-and Two-Parameter Poisson-Dirichlet Models," CIRJE F-Series CIRJE-F-446, CIRJE, Faculty of Economics, University of Tokyo.
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    64. David, S.A. & Machado, J.A.T. & Quintino, D.D. & Balthazar, J.M., 2016. "Partial chaos suppression in a fractional order macroeconomic model," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 122(C), pages 55-68.
    65. Masanao Aoki, 2006. "Patterns of Non-exponential Growth of Macroeconomic Models: Two-parameter Poisson-Dirichlet Models (Forthcoming in "Rivista Internazionale di Scienze Sociali", cxv No.1, pp. 109-125, 2007. )," CARF F-Series CARF-F-085, Center for Advanced Research in Finance, Faculty of Economics, The University of Tokyo.
    66. Salehi, Younes & Darvishi, Mohammad T. & Schiesser, William E., 2018. "Numerical solution of space fractional diffusion equation by the method of lines and splines," Applied Mathematics and Computation, Elsevier, vol. 336(C), pages 465-480.
    67. Guglielmo D'Amico & Filippo Petroni, 2012. "Weighted-indexed semi-Markov models for modeling financial returns," Papers 1205.2551, arXiv.org, revised Jun 2012.
    68. G. Fern'andez-Anaya & L. A. Quezada-T'ellez & B. Nu~nez-Zavala & D. Brun-Battistini, 2019. "Katugampola Generalized Conformal Derivative Approach to Inada Conditions and Solow-Swan Economic Growth Model," Papers 1907.00130, arXiv.org.
    69. Ma, Zhiyao & Sun, Ke & Tong, Shaocheng, 2024. "Adaptive asymptotic tracking control of uncertain fractional-order nonlinear systems with unknown control coefficients and actuator faults," Chaos, Solitons & Fractals, Elsevier, vol. 182(C).
    70. Ya Qin & Adnan Khan & Izaz Ali & Maysaa Al Qurashi & Hassan Khan & Rasool Shah & Dumitru Baleanu, 2020. "An Efficient Analytical Approach for the Solution of Certain Fractional-Order Dynamical Systems," Energies, MDPI, vol. 13(11), pages 1-14, May.
    71. D’Amico, Guglielmo & Petroni, Filippo, 2018. "Copula based multivariate semi-Markov models with applications in high-frequency finance," European Journal of Operational Research, Elsevier, vol. 267(2), pages 765-777.
    72. Feng, L.B. & Zhuang, P. & Liu, F. & Turner, I., 2015. "Stability and convergence of a new finite volume method for a two-sided space-fractional diffusion equation," Applied Mathematics and Computation, Elsevier, vol. 257(C), pages 52-65.
    73. Plamen Ch Ivanov & Ainslie Yuen & Pandelis Perakakis, 2014. "Impact of Stock Market Structure on Intertrade Time and Price Dynamics," PLOS ONE, Public Library of Science, vol. 9(4), pages 1-14, April.
    74. Guglielmo D'Amico & Filippo Petroni, 2011. "A semi-Markov model with memory for price changes," Papers 1109.4259, arXiv.org, revised Dec 2011.
    75. Joel Alba-Pérez & Jorge E. Macías-Díaz, 2019. "Analysis of Structure-Preserving Discrete Models for Predator-Prey Systems with Anomalous Diffusion," Mathematics, MDPI, vol. 7(12), pages 1-31, December.
    76. Xiao-Hui Ni & Zhi-Qiang Jiang & Gao-Feng Gu & Fei Ren & Wei Chen & Wei-Xing Zhou, 2009. "Scaling and memory in the non-poisson process of limit order cancelation," Papers 0911.0057, arXiv.org.
    77. Meerschaert, Mark M. & Scalas, Enrico, 2006. "Coupled continuous time random walks in finance," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 370(1), pages 114-118.
    78. Yong-Ping Ruan & Wei-Xing Zhou, 2010. "Long-term correlations and multifractal nature in the intertrade durations of a liquid Chinese stock and its warrant," Papers 1008.0160, arXiv.org.
    79. Pagnini, Gianni, 2014. "Short note on the emergence of fractional kinetics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 409(C), pages 29-34.
    80. Berardi, Luca & Serva, Maurizio, 2005. "Time and foreign exchange markets," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 353(C), pages 403-412.
    81. Michelitsch, Thomas M. & Polito, Federico & Riascos, Alejandro P., 2021. "On discrete time Prabhakar-generalized fractional Poisson processes and related stochastic dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 565(C).
    82. Xu, Yang & Zhang, Yanming & Zhao, Jingjun, 2019. "Backward difference formulae and spectral Galerkin methods for the Riesz space fractional diffusion equation," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 166(C), pages 494-507.
    83. Alvaro Cartea & Thilo Meyer-Brandis, 2007. "How Does Duration Between Trades of Underlying Securities Affect Option Prices," Birkbeck Working Papers in Economics and Finance 0721, Birkbeck, Department of Economics, Mathematics & Statistics.
    84. Beghin, L., 2012. "Random-time processes governed by differential equations of fractional distributed order," Chaos, Solitons & Fractals, Elsevier, vol. 45(11), pages 1314-1327.
    85. Danane, Jaouad & Allali, Karam & Hammouch, Zakia, 2020. "Mathematical analysis of a fractional differential model of HBV infection with antibody immune response," Chaos, Solitons & Fractals, Elsevier, vol. 136(C).
    86. Adán J. Serna-Reyes & Jorge E. Macías-Díaz & Nuria Reguera, 2021. "A Convergent Three-Step Numerical Method to Solve a Double-Fractional Two-Component Bose–Einstein Condensate," Mathematics, MDPI, vol. 9(12), pages 1-22, June.
    87. Zhang, Jingyuan, 2018. "A stable explicitly solvable numerical method for the Riesz fractional advection–dispersion equations," Applied Mathematics and Computation, Elsevier, vol. 332(C), pages 209-227.
    88. Shi, Dongyang & Yang, Huaijun, 2018. "Superconvergence analysis of finite element method for time-fractional Thermistor problem," Applied Mathematics and Computation, Elsevier, vol. 323(C), pages 31-42.
    89. Vasily E. Tarasov, 2019. "On History of Mathematical Economics: Application of Fractional Calculus," Mathematics, MDPI, vol. 7(6), pages 1-28, June.
    90. Scalas, Enrico & Viles, Noèlia, 2014. "A functional limit theorem for stochastic integrals driven by a time-changed symmetric α-stable Lévy process," Stochastic Processes and their Applications, Elsevier, vol. 124(1), pages 385-410.
    91. Tarasov, Vasily E., 2020. "Fractional econophysics: Market price dynamics with memory effects," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 557(C).
    92. Marcin Wątorek & Jarosław Kwapień & Stanisław Drożdż, 2022. "Multifractal Cross-Correlations of Bitcoin and Ether Trading Characteristics in the Post-COVID-19 Time," Future Internet, MDPI, vol. 14(7), pages 1-15, July.
    93. Meerschaert, Mark M. & Mortensen, Jeff & Wheatcraft, Stephen W., 2006. "Fractional vector calculus for fractional advection–dispersion," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 367(C), pages 181-190.
    94. Jaros{l}aw Klamut & Tomasz Gubiec, 2018. "Directed Continuous-Time Random Walk with memory," Papers 1807.01934, arXiv.org.
    95. Shi, Jianping & He, Ke & Fang, Hui, 2022. "Chaos, Hopf bifurcation and control of a fractional-order delay financial system," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 194(C), pages 348-364.
    96. Valentina V. Tarasova & Vasily E. Tarasov, 2017. "Concept of dynamic memory in economics," Papers 1712.09088, arXiv.org.
    97. Valentina V. Tarasova & Vasily E. Tarasov, 2017. "Logistic map with memory from economic model," Papers 1712.09092, arXiv.org.
    98. Caputo, Michele & Cametti, Cesare & Ruggero, Vittorio, 2008. "Time and spatial concentration profile inside a membrane by means of a memory formalism," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(8), pages 2010-2018.
    99. Tarasova, Valentina V. & Tarasov, Vasily E., 2017. "Logistic map with memory from economic model," Chaos, Solitons & Fractals, Elsevier, vol. 95(C), pages 84-91.
    100. Tristan Fletcher & John Shawe-Taylor, 2013. "Multiple Kernel Learning with Fisher Kernels for High Frequency Currency Prediction," Computational Economics, Springer;Society for Computational Economics, vol. 42(2), pages 217-240, August.
    101. Marseguerra, M. & Zoia, A., 2007. "Monte Carlo investigation of anomalous transport in presence of a discontinuity and of an advection field," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 377(2), pages 448-464.
    102. Guglielmo D'Amico & Filippo Petroni, 2020. "A micro-to-macro approach to returns, volumes and waiting times," Papers 2007.06262, arXiv.org.
    103. Tarasov, Vasily E. & Tarasova, Valentina V., 2018. "Macroeconomic models with long dynamic memory: Fractional calculus approach," Applied Mathematics and Computation, Elsevier, vol. 338(C), pages 466-486.
    104. Francesco Mainardi, 2020. "On the Advent of Fractional Calculus in Econophysics via Continuous-Time Random Walk," Mathematics, MDPI, vol. 8(4), pages 1-9, April.
    105. Qing Tang & Fabio Camilli, 2020. "Variational Time-Fractional Mean Field Games," Dynamic Games and Applications, Springer, vol. 10(2), pages 573-588, June.
    106. Guglielmo D'Amico & Filippo Petroni, 2013. "Multivariate high-frequency financial data via semi-Markov processes," Papers 1305.0436, arXiv.org.
    107. El-Ajou, Ahmad & Abu Arqub, Omar & Momani, Shaher & Baleanu, Dumitru & Alsaedi, Ahmed, 2015. "A novel expansion iterative method for solving linear partial differential equations of fractional order," Applied Mathematics and Computation, Elsevier, vol. 257(C), pages 119-133.
    108. Caputo, Michele & Cametti, Cesare, 2016. "Fractional derivatives in the transport of drugs across biological materials and human skin," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 462(C), pages 705-713.
    109. Foad Shokrollahi, 2016. "Subdiffusive fractional Brownian motion regime for pricing currency options under transaction costs," Papers 1612.06665, arXiv.org, revised Aug 2017.
    110. Kuroda, Koji & Murai, Joshin, 2007. "Limit theorems in financial market models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 383(1), pages 28-34.
    111. Samir A. El-Tantawy & Rasool Shah & Albandari W. Alrowaily & Nehad Ali Shah & Jae Dong Chung & Sherif. M. E. Ismaeel, 2023. "A Comparative Study of the Fractional-Order Belousov–Zhabotinsky System," Mathematics, MDPI, vol. 11(7), pages 1-15, April.
    112. Scalas, Enrico, 2006. "The application of continuous-time random walks in finance and economics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 362(2), pages 225-239.
    113. Vasily E. Tarasov & Valentina V. Tarasova, 2019. "Dynamic Keynesian Model of Economic Growth with Memory and Lag," Mathematics, MDPI, vol. 7(2), pages 1-17, February.
    114. Guo, Gang & Chen, Bin & Zhao, Xinjun & Zhao, Fang & Wang, Quanmin, 2015. "First passage time distribution of a modified fractional diffusion equation in the semi-infinite interval," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 433(C), pages 279-290.
    115. Repetowicz, Przemysław & Richmond, Peter, 2004. "Modeling of waiting times and price changes in currency exchange data," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 343(C), pages 677-693.
    116. Alqhtani, Manal & Owolabi, Kolade M. & Saad, Khaled M. & Pindza, Edson, 2022. "Efficient numerical techniques for computing the Riesz fractional-order reaction-diffusion models arising in biology," Chaos, Solitons & Fractals, Elsevier, vol. 161(C).
    117. D’Amico, Guglielmo & Janssen, Jacques & Manca, Raimondo, 2009. "European and American options: The semi-Markov case," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(15), pages 3181-3194.
    118. Peiyu Yi & Feihu Huang & Jian Peng, 2019. "A Rebalancing Strategy for the Imbalance Problem in Bike-Sharing Systems," Energies, MDPI, vol. 12(13), pages 1-18, July.
    119. Marcin Wk{a}torek & Jaros{l}aw Kwapie'n & Stanis{l}aw Dro.zd.z, 2022. "Multifractal cross-correlations of bitcoin and ether trading characteristics in the post-COVID-19 time," Papers 2208.01445, arXiv.org.
    120. Jorge E. Macías-Díaz, 2019. "Numerically Efficient Methods for Variational Fractional Wave Equations: An Explicit Four-Step Scheme," Mathematics, MDPI, vol. 7(11), pages 1-27, November.
    121. Mura, A. & Taqqu, M.S. & Mainardi, F., 2008. "Non-Markovian diffusion equations and processes: Analysis and simulations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(21), pages 5033-5064.
    122. Gorenflo, Rudolf & Mainardi, Francesco & Vivoli, Alessandro, 2007. "Continuous-time random walk and parametric subordination in fractional diffusion," Chaos, Solitons & Fractals, Elsevier, vol. 34(1), pages 87-103.
    123. Inés Tejado & Emiliano Pérez & Duarte Valério, 2020. "Fractional Derivatives for Economic Growth Modelling of the Group of Twenty: Application to Prediction," Mathematics, MDPI, vol. 8(1), pages 1-21, January.
    124. Valentina V. Tarasova & Vasily E. Tarasov, 2017. "Risk Aversion for Investors with Memory: Hereditary Generalizations of Arrow-Pratt Measure," Finansovyj žhurnal — Financial Journal, Financial Research Institute, Moscow 125375, Russia, issue 2, pages 46-63, April.
    125. Boukhouima, Adnane & Hattaf, Khalid & Lotfi, El Mehdi & Mahrouf, Marouane & Torres, Delfim F.M. & Yousfi, Noura, 2020. "Lyapunov functions for fractional-order systems in biology: Methods and applications," Chaos, Solitons & Fractals, Elsevier, vol. 140(C).
    126. Hussam Aljarrah & Mohammad Alaroud & Anuar Ishak & Maslina Darus, 2021. "Adaptation of Residual-Error Series Algorithm to Handle Fractional System of Partial Differential Equations," Mathematics, MDPI, vol. 9(22), pages 1-17, November.
    127. Marseguerra, M. & Zoia, A., 2007. "Some insights in superdiffusive transport," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 377(1), pages 1-14.
    128. Barbieri, Davide & Vivoli, Alessandro, 2005. "Long-range correlations in time series generated by time-fractional diffusion: A numerical study," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 355(1), pages 190-198.
    129. Valentina V. Tarasova & Vasily E. Tarasov, 2016. "Economic Accelerator with Memory: Discrete Time Approach," Papers 1612.07913, arXiv.org, revised Jul 2017.
    130. Ren, Jincheng & Sun, Zhi-zhong, 2015. "Maximum norm error analysis of difference schemes for fractional diffusion equations," Applied Mathematics and Computation, Elsevier, vol. 256(C), pages 299-314.

  33. M. Raberto & G. Cuniberti & E. Scalas & M. Riani & F. Mainardi & G. Servizi, 2000. "Learning short-option valuation in the presence of rare events," Papers cond-mat/0001253, arXiv.org.

    Cited by:

    1. Johannes Ruf & Weiguan Wang, 2019. "Neural networks for option pricing and hedging: a literature review," Papers 1911.05620, arXiv.org, revised May 2020.

  34. Gianaurelio Cuniberti & Marco Raberto & Enrico Scalas, 1999. "Correlations in the Bond-Future Market," Papers cond-mat/9903220, arXiv.org.

    Cited by:

    1. Zheng, Zhiyong & Lu, Yunfan & Zhang, Junhuan, 2022. "Multiscale complexity fluctuation behaviours of stochastic interacting cryptocurrency price model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 593(C).
    2. Marcin Wk{a}torek & Stanis{l}aw Dro.zd.z & Jaros{l}aw Kwapie'n & Ludovico Minati & Pawe{l} O'swik{e}cimka & Marek Stanuszek, 2020. "Multiscale characteristics of the emerging global cryptocurrency market," Papers 2010.15403, arXiv.org, revised Mar 2021.

  35. Marco Raberto & Enrico Scalas & Gianaurelio Cuniberti & Massimo Riani, 1999. "Volatility in the Italian Stock Market: an Empirical Study," Papers cond-mat/9903221, arXiv.org.

    Cited by:

    1. Enrico Scalas & Rudolf Gorenflo & Francesco Mainardi & Maurizio Mantelli & Marco Raberto, 2003. "Anomalous waiting times in high-frequency financial data," Papers cond-mat/0310305, arXiv.org.
    2. Lemmens, D. & Liang, L.Z.J. & Tempere, J. & De Schepper, A., 2010. "Pricing bounds for discrete arithmetic Asian options under Lévy models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(22), pages 5193-5207.
    3. Choi, Sun-Yong, 2020. "Industry volatility and economic uncertainty due to the COVID-19 pandemic: Evidence from wavelet coherence analysis," Finance Research Letters, Elsevier, vol. 37(C).
    4. Cincotti, Silvano & M. Focardi, Sergio & Marchesi, Michele & Raberto, Marco, 2003. "Who wins? Study of long-run trader survival in an artificial stock market," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 324(1), pages 227-233.
    5. Zhuang, Xin-tian & Huang, Xiao-yuan & Sha, Yan-li, 2004. "Research on the fractal structure in the Chinese stock market," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 333(C), pages 293-305.
    6. Raberto, Marco & Teglio, Andrea & Cincotti, Silvano, 2006. "A general equilibrium model of a production economy with asset markets," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 370(1), pages 75-80.

Articles

  1. Habyarimana, Cassien & Aduda, Jane A. & Scalas, Enrico & Chen, Jing & Hawkes, Alan G. & Polito, Federico, 2023. "A fractional Hawkes process II: Further characterization of the process," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 615(C).

    Cited by:

    1. Ulrich Horst & Wei Xu, 2024. "Functional Limit Theorems for Hawkes Processes," Papers 2401.11495, arXiv.org, revised Dec 2024.

  2. Düring, Bertram & Georgiou, Nicos & Merino-Aceituno, Sara & Scalas, Enrico, 2022. "Continuum and thermodynamic limits for a simple random-exchange model," Stochastic Processes and their Applications, Elsevier, vol. 149(C), pages 248-277.
    See citations under working paper version above.
  3. Eom, Cheoljun & Kaizoji, Taisei & Livan, Giacomo & Scalas, Enrico, 2021. "Limitations of portfolio diversification through fat tails of the return Distributions: Some empirical evidence," The North American Journal of Economics and Finance, Elsevier, vol. 56(C).

    Cited by:

    1. Azra Zaimovic & Adna Omanovic & Almira Arnaut-Berilo, 2021. "How Many Stocks Are Sufficient for Equity Portfolio Diversification? A Review of the Literature," JRFM, MDPI, vol. 14(11), pages 1-30, November.
    2. Eom, Cheoljun & Eom, Yunsung & Park, Jong Won, 2023. "Left-tail momentum and tail properties of return distributions: A case of Korea," International Review of Financial Analysis, Elsevier, vol. 87(C).
    3. Burns, Christopher B. & Kane, Stephen, 2022. "Arbitrage breakdown in WTI crude oil futures: An analysis of the events on April 20, 2020," Resources Policy, Elsevier, vol. 76(C).

  4. Ponta, Linda & Trinh, Mailan & Raberto, Marco & Scalas, Enrico & Cincotti, Silvano, 2019. "Modeling non-stationarities in high-frequency financial time series," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 521(C), pages 173-196.
    See citations under working paper version above.
  5. Eom, Cheoljun & Kaizoji, Taisei & Scalas, Enrico, 2019. "Fat tails in financial return distributions revisited: Evidence from the Korean stock market," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 526(C).
    See citations under working paper version above.
  6. J. Chen & A. G. Hawkes & E. Scalas & M. Trinh, 2018. "Performance of information criteria for selection of Hawkes process models of financial data," Quantitative Finance, Taylor & Francis Journals, vol. 18(2), pages 225-235, February.

    Cited by:

    1. Chiu, Hsin-Yu & Chen, Ting-Fu, 2020. "Impact of volatility jumps in a mean-reverting model: Derivative pricing and empirical evidence," The North American Journal of Economics and Finance, Elsevier, vol. 52(C).
    2. Bautista, Lucía & Castro, Inma T. & Landesa, Luis, 2022. "Condition-based maintenance for a system subject to multiple degradation processes with stochastic arrival intensity," European Journal of Operational Research, Elsevier, vol. 302(2), pages 560-574.
    3. Lirong Cui & Bei Wu & Juan Yin, 2022. "Moments for Hawkes Processes with Gamma Decay Kernel Functions," Methodology and Computing in Applied Probability, Springer, vol. 24(3), pages 1565-1601, September.
    4. Stindl, Tom, 2023. "Forecasting intraday market risk: A marked self-exciting point process with exogenous renewals," Journal of Empirical Finance, Elsevier, vol. 70(C), pages 182-198.

  7. Leonenko, Nikolai & Scalas, Enrico & Trinh, Mailan, 2017. "The fractional non-homogeneous Poisson process," Statistics & Probability Letters, Elsevier, vol. 120(C), pages 147-156.

    Cited by:

    1. A. Maheshwari & P. Vellaisamy, 2019. "Fractional Poisson Process Time-Changed by Lévy Subordinator and Its Inverse," Journal of Theoretical Probability, Springer, vol. 32(3), pages 1278-1305, September.
    2. Davide Cocco & Massimiliano Giona, 2021. "Generalized Counting Processes in a Stochastic Environment," Mathematics, MDPI, vol. 9(20), pages 1-19, October.
    3. Kreer, Markus, 2022. "An elementary proof for dynamical scaling for certain fractional non-homogeneous Poisson processes," Statistics & Probability Letters, Elsevier, vol. 182(C).
    4. Yang, Xiuzhen & He, Yihai & Liao, Ruoyu & Cai, Yuqi & Dai, Wei, 2024. "Mission reliability-centered opportunistic maintenance approach for multistate manufacturing systems," Reliability Engineering and System Safety, Elsevier, vol. 241(C).
    5. Beghin, Luisa & Macci, Claudio & Ricciuti, Costantino, 2020. "Random time-change with inverses of multivariate subordinators: Governing equations and fractional dynamics," Stochastic Processes and their Applications, Elsevier, vol. 130(10), pages 6364-6387.

  8. Scalas, Enrico & Rapallo, Fabio & Radivojević, Tijana, 2017. "Low-traffic limit and first-passage times for a simple model of the continuous double auction," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 485(C), pages 61-72.
    See citations under working paper version above.
  9. Giacomo Livan & Simone Alfarano & Mishael Milaković & Enrico Scalas, 2015. "A spectral perspective on excess volatility," Applied Economics Letters, Taylor & Francis Journals, vol. 22(9), pages 745-750, June.
    See citations under working paper version above.
  10. Tijana Radivojević & Jonatha Anselmi & Enrico Scalas, 2014. "Ergodic Transition in a Simple Model of the Continuous Double Auction," PLOS ONE, Public Library of Science, vol. 9(2), pages 1-5, February.
    See citations under working paper version above.
  11. Scalas, Enrico & Viles, Noèlia, 2014. "A functional limit theorem for stochastic integrals driven by a time-changed symmetric α-stable Lévy process," Stochastic Processes and their Applications, Elsevier, vol. 124(1), pages 385-410.

    Cited by:

    1. Andreas S{o}jmark & Fabrice Wunderlich, 2023. "Functional CLTs for subordinated L\'evy models in physics, finance, and econometrics," Papers 2312.15119, arXiv.org, revised Jan 2024.
    2. Beghin, Luisa, 2018. "Fractional diffusion-type equations with exponential and logarithmic differential operators," Stochastic Processes and their Applications, Elsevier, vol. 128(7), pages 2427-2447.
    3. Iksanov, Alexander & Kabluchko, Zakhar & Marynych, Alexander & Shevchenko, Georgiy, 2017. "Fractionally integrated inverse stable subordinators," Stochastic Processes and their Applications, Elsevier, vol. 127(1), pages 80-106.
    4. Leonenko, N.N. & Papić, I. & Sikorskii, A. & Šuvak, N., 2017. "Heavy-tailed fractional Pearson diffusions," Stochastic Processes and their Applications, Elsevier, vol. 127(11), pages 3512-3535.
    5. Li, Bo & Pang, Guodong, 2022. "Functional limit theorems for nonstationary marked Hawkes processes in the high intensity regime," Stochastic Processes and their Applications, Elsevier, vol. 143(C), pages 285-339.

  12. Marco Raberto & Fabio Rapallo & Enrico Scalas, 2011. "Semi-Markov Graph Dynamics," PLOS ONE, Public Library of Science, vol. 6(8), pages 1-13, August.

    Cited by:

    1. Cristiano Bocci & Luca Chiantini & Fabio Rapallo, 2014. "Max-Plus Objects to Study the Complexity of Graphs," Methodology and Computing in Applied Probability, Springer, vol. 16(3), pages 507-525, September.
    2. Enrico Scalas & Fabio Rapallo & Tijana Radivojevi'c, 2016. "Low-traffic limit and first-passage times for a simple model of the continuous double auction," Papers 1603.09666, arXiv.org.
    3. Diego Aparicio & Daniel Fraiman, 2015. "Banking Networks And Leverage Dependence In Emerging Countries," Advances in Complex Systems (ACS), World Scientific Publishing Co. Pte. Ltd., vol. 18(07n08), pages 1-21, November.
    4. Meerschaert, Mark M. & Toaldo, Bruno, 2019. "Relaxation patterns and semi-Markov dynamics," Stochastic Processes and their Applications, Elsevier, vol. 129(8), pages 2850-2879.

  13. Sazuka, Naoya & Inoue, Jun-ichi & Scalas, Enrico, 2009. "The distribution of first-passage times and durations in FOREX and future markets," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(14), pages 2839-2853.
    See citations under working paper version above.
  14. Scalas, Enrico & Garibaldi, Ubaldo, 2009. "A Dynamic Probabilistic Version of the Aoki-Yoshikawa Sectoral Productivity Model," Economics - The Open-Access, Open-Assessment E-Journal (2007-2020), Kiel Institute for the World Economy (IfW Kiel), vol. 3, pages 1-10.

    Cited by:

    1. Vygintas Gontis & Aleksejus Kononovicius, 2014. "Consentaneous Agent-Based and Stochastic Model of the Financial Markets," PLOS ONE, Public Library of Science, vol. 9(7), pages 1-12, July.
    2. Hideaki Aoyama & Hiroshi Iyetomi & Hiroshi Yoshikawa, 2015. "Equilibrium distribution of labor productivity: a theoretical model," Journal of Economic Interaction and Coordination, Springer;Society for Economic Science with Heterogeneous Interacting Agents, vol. 10(1), pages 57-66, April.
    3. AOYAMA Hideaki & IYETOMI Hiroshi & YOSHIKAWA Hiroshi, 2012. "Equilibrium Distribution of Labor Productivity," Discussion papers 12041, Research Institute of Economy, Trade and Industry (RIETI).
    4. Ilona Bednarek & Marcin Makowski & Edward W. Piotrowski & Jan S{l}adkowski & Jacek Syska, 2015. "Generalization of the Aoki-Yoshikawa sectoral productivity model based on extreme physical information principle," Papers 1504.07604, arXiv.org.
    5. Hideaki Aoyama & Hiroshi Iyetomi & Hiroshi Yoshikawa, 2012. "Equilibrium Distribution of Labor Productivity: A Theoretical Model," Papers 1205.2470, arXiv.org.

  15. Politi, Mauro & Scalas, Enrico, 2008. "Fitting the empirical distribution of intertrade durations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(8), pages 2025-2034.

    Cited by:

    1. Zhi-Qiang Jiang & Wei Chen & Wei-Xing Zhou, 2008. "Detrended fluctuation analysis of intertrade durations," Papers 0806.2444, arXiv.org.
    2. A. Saichev & D. Sornette, 2012. "A simple microstructure return model explaining microstructure noise and Epps effects," Papers 1202.3915, arXiv.org.
    3. Huber, Jürgen & Kleinlercher, Daniel & Kirchler, Michael, 2012. "The impact of a financial transaction tax on stylized facts of price returns—Evidence from the lab," Journal of Economic Dynamics and Control, Elsevier, vol. 36(8), pages 1248-1266.
    4. Wang, Fei & Yuan, Yu & Lu, Liangdong, 2021. "Dynamical prediction model of consumers’ purchase intentions regarding anti-smog products during smog risk: Taking the information flow perspective," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 563(C).
    5. Linda Ponta & Mailan Trinh & Marco Raberto & Enrico Scalas & Silvano Cincotti, 2012. "Modeling non-stationarities in high-frequency financial time series," Papers 1212.0479, arXiv.org, revised Feb 2017.
    6. Sazuka, Naoya & Inoue, Jun-ichi & Scalas, Enrico, 2009. "The distribution of first-passage times and durations in FOREX and future markets," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(14), pages 2839-2853.
    7. Zhi-Qiang Jiang & Askery A. Canabarro & Boris Podobnik & H. Eugene Stanley & Wei-Xing Zhou, 2015. "Early warning of large volatilities based on recurrence interval analysis in Chinese stock markets," Papers 1508.07505, arXiv.org.
    8. Mauro Politi & Nicolas Millot & Anirban Chakraborti, 2011. "The near-extreme density of intraday log-returns," Post-Print hal-00827942, HAL.
    9. Jiang, Zhi-Qiang & Chen, Wei & Zhou, Wei-Xing, 2008. "Scaling in the distribution of intertrade durations of Chinese stocks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(23), pages 5818-5825.
    10. Martins, Francisco Leonardo Bezerra & do Nascimento, José Cláudio, 2022. "Power law dynamics in genealogical graphs," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 596(C).
    11. Schinckus, C., 2013. "Between complexity of modelling and modelling of complexity: An essay on econophysics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(17), pages 3654-3665.
    12. Safari, Muhammad Aslam Mohd & Masseran, Nurulkamal & Ibrahim, Kamarulzaman, 2018. "Optimal threshold for Pareto tail modelling in the presence of outliers," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 509(C), pages 169-180.
    13. Plamen Ch Ivanov & Ainslie Yuen & Pandelis Perakakis, 2014. "Impact of Stock Market Structure on Intertrade Time and Price Dynamics," PLOS ONE, Public Library of Science, vol. 9(4), pages 1-14, April.
    14. Xiao-Hui Ni & Zhi-Qiang Jiang & Gao-Feng Gu & Fei Ren & Wei Chen & Wei-Xing Zhou, 2009. "Scaling and memory in the non-poisson process of limit order cancelation," Papers 0911.0057, arXiv.org.
    15. Anirban Chakraborti & Ioane Muni Toke & Marco Patriarca & Frederic Abergel, 2011. "Econophysics review: II. Agent-based models," Quantitative Finance, Taylor & Francis Journals, vol. 11(7), pages 1013-1041.
    16. Kreer, Markus & Kizilersu, Ayse & Thomas, Anthony W., 2022. "Censored expectation maximization algorithm for mixtures: Application to intertrade waiting times," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 587(C).
    17. Anirban Chakraborti & Ioane Muni Toke & Marco Patriarca & Frédéric Abergel, 2011. "Econophysics review: I. Empirical facts," Post-Print hal-00621058, HAL.
    18. Yong-Ping Ruan & Wei-Xing Zhou, 2010. "Long-term correlations and multifractal nature in the intertrade durations of a liquid Chinese stock and its warrant," Papers 1008.0160, arXiv.org.
    19. Anirban Chakraborti & Ioane Muni Toke & Marco Patriarca & Frederic Abergel, 2011. "Econophysics review: I. Empirical facts," Quantitative Finance, Taylor & Francis Journals, vol. 11(7), pages 991-1012.
    20. Kirchler, Michael & Huber, Jürgen & Kleinlercher, Daniel, 2011. "Market microstructure matters when imposing a Tobin tax—Evidence from the lab," Journal of Economic Behavior & Organization, Elsevier, vol. 80(3), pages 586-602.
    21. Politi, Mauro & Millot, Nicolas & Chakraborti, Anirban, 2012. "The near-extreme density of intraday log-returns," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(1), pages 147-155.
    22. Vladimir Filimonov & Didier Sornette, 2013. "Apparent criticality and calibration issues in the Hawkes self-excited point process model: application to high-frequency financial data," Papers 1308.6756, arXiv.org, revised Jul 2014.
    23. V. Filimonov & D. Sornette, 2015. "Apparent criticality and calibration issues in the Hawkes self-excited point process model: application to high-frequency financial data," Quantitative Finance, Taylor & Francis Journals, vol. 15(8), pages 1293-1314, August.
    24. Tristan Fletcher & John Shawe-Taylor, 2013. "Multiple Kernel Learning with Fisher Kernels for High Frequency Currency Prediction," Computational Economics, Springer;Society for Computational Economics, vol. 42(2), pages 217-240, August.
    25. Mauro Politi & Nicolas Millot & Anirban Chakraborti, 2011. "The near-extreme density of intraday log-returns," Papers 1106.0039, arXiv.org.
    26. Song, Dong-Ming & Jiang, Zhi-Qiang & Zhou, Wei-Xing, 2009. "Statistical properties of world investment networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(12), pages 2450-2460.
    27. Li, Zhenpeng & Tang, Xijin & Zhou, Haijun & Yan, Donghui, 2018. "An empirical investigation and theoretic modeling for the collective online visiting behaviors," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 503(C), pages 969-980.
    28. Coronel-Brizio, H.F. & Hernández-Montoya, A.R., 2010. "The Anderson–Darling test of fit for the power-law distribution from left-censored samples," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(17), pages 3508-3515.

  16. Lim, Gyuchang & Kim, SooYong & Scalas, Enrico & Kim, Kyungsik & Chang, Ki-Ho, 2008. "Analysis of price fluctuations in futures exchange markets," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(12), pages 2823-2830.

    Cited by:

    1. Rajabzadeh, Yalda & Rezaie, Amir Hossein & Amindavar, Hamidreza, 2016. "A robust nonparametric framework for reconstruction of stochastic differential equation models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 450(C), pages 294-304.

  17. Minicozzi, Pamela & Rapallo, Fabio & Scalas, Enrico & Dondero, Francesco, 2008. "Accuracy and robustness of clustering algorithms for small-size applications in bioinformatics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(25), pages 6310-6318.

    Cited by:

    1. Yu, Hui & Chen, LuYuan & Yao, JingTao & Wang, XingNan, 2019. "A three-way clustering method based on an improved DBSCAN algorithm," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 535(C).

  18. Mosetti, Giancarlo & Jug, Giancarlo & Scalas, Enrico, 2007. "Power laws from randomly sampled continuous-time random walks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 375(1), pages 233-238.

    Cited by:

    1. Huang, Zhendong & Xiao, Renbin, 2013. "An emergent computation approach to the problem of polygon layout with performance constraints," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(20), pages 5074-5088.

  19. B. Tóth & E. Scalas & J. Huber & M. Kirchler, 2007. "The value of information in a multi-agent market model," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 55(1), pages 115-120, January.
    See citations under working paper version above.
  20. U. Garibaldi & E. Scalas & P. Viarengo, 2007. "Statistical equilibrium in simple exchange games II. The redistribution game," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 60(2), pages 241-246, November.

    Cited by:

    1. Enrico Scalas & Tijana Radivojević & Ubaldo Garibaldi, 2015. "Wealth distribution and the Lorenz curve: a finitary approach," Journal of Economic Interaction and Coordination, Springer;Society for Economic Science with Heterogeneous Interacting Agents, vol. 10(1), pages 79-89, April.
    2. Anirban Chakraborti & Ioane Muni Toke & Marco Patriarca & Frédéric Abergel, 2011. "Econophysics review: II. Agent-based models," Post-Print hal-00621059, HAL.
    3. G. Dimarco & L. Pareschi & G. Toscani & M. Zanella, 2020. "Wealth distribution under the spread of infectious diseases," Papers 2004.13620, arXiv.org.
    4. Giacomo Dimarco & Giuseppe Toscani & Mattia Zanella, 2024. "A multi-agent description of the influence of higher education on social stratification," Journal of Economic Interaction and Coordination, Springer;Society for Economic Science with Heterogeneous Interacting Agents, vol. 19(3), pages 493-521, July.
    5. Lorenzo Pareschi & Giuseppe Toscani, 2014. "Wealth distribution and collective knowledge. A Boltzmann approach," Papers 1401.4550, arXiv.org.
    6. Düring, Bertram & Matthes, Daniel & Toscani, Giuseppe, 2008. "A Boltzmann-type approach to the formation of wealth distribution curves," CoFE Discussion Papers 08/05, University of Konstanz, Center of Finance and Econometrics (CoFE).
    7. Hu, Chunhua & Feng, Huarong, 2024. "Kinetic model for asset allocation with strategy switching," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 636(C).
    8. Gualandi, Stefano & Toscani, Giuseppe, 2018. "Pareto tails in socio-economic phenomena: A kinetic description," Economics - The Open-Access, Open-Assessment E-Journal (2007-2020), Kiel Institute for the World Economy (IfW Kiel), vol. 12, pages 1-17.

  21. Politi, Mauro & Scalas, Enrico, 2007. "Activity spectrum from waiting-time distribution," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 383(1), pages 43-48.
    See citations under working paper version above.
  22. Scalas, Enrico, 2007. "Mixtures of compound Poisson processes as models of tick-by-tick financial data," Chaos, Solitons & Fractals, Elsevier, vol. 34(1), pages 33-40.
    See citations under working paper version above.
  23. E. Scalas & U. Garibaldi & S. Donadio, 2006. "Statistical equilibrium in simple exchange games I," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 53(2), pages 267-272, September.

    Cited by:

    1. Bertram Düring & Lorenzo Pareschi & Giuseppe Toscani, 2018. "Kinetic models for optimal control of wealth inequalities," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 91(10), pages 1-12, October.
    2. Giulio Bottazzi & Ugo Gragnolati & Vanni Fabio, 2015. "Non-linear externalities in firm localization," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) hal-01297132, HAL.
    3. Enrico Scalas & Tijana Radivojević & Ubaldo Garibaldi, 2015. "Wealth distribution and the Lorenz curve: a finitary approach," Journal of Economic Interaction and Coordination, Springer;Society for Economic Science with Heterogeneous Interacting Agents, vol. 10(1), pages 79-89, April.
    4. Anirban Chakraborti & Ioane Muni Toke & Marco Patriarca & Frédéric Abergel, 2011. "Econophysics review: II. Agent-based models," Post-Print hal-00621059, HAL.
    5. Chakrabarti, Anindya S. & Chakrabarti, Bikas K., 2010. "Statistical theories of income and wealth distribution," Economics - The Open-Access, Open-Assessment E-Journal (2007-2020), Kiel Institute for the World Economy (IfW Kiel), vol. 4, pages 1-31.
    6. G. Dimarco & L. Pareschi & G. Toscani & M. Zanella, 2020. "Wealth distribution under the spread of infectious diseases," Papers 2004.13620, arXiv.org.
    7. Giacomo Dimarco & Giuseppe Toscani & Mattia Zanella, 2024. "A multi-agent description of the influence of higher education on social stratification," Journal of Economic Interaction and Coordination, Springer;Society for Economic Science with Heterogeneous Interacting Agents, vol. 19(3), pages 493-521, July.
    8. Simone Landini & Mariacristina Uberti, 2008. "A Statistical Mechanic View of Macro-dynamics in Economics," Computational Economics, Springer;Society for Computational Economics, vol. 32(1), pages 121-146, September.
    9. Bertram During & Nicos Georgiou & Enrico Scalas, 2016. "A stylized model for wealth distribution," Papers 1609.08978, arXiv.org, revised Jul 2021.
    10. Bagatella-Flores, N. & Rodríguez-Achach, M. & Coronel-Brizio, H.F. & Hernández-Montoya, A.R., 2015. "Wealth distribution of simple exchange models coupled with extremal dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 417(C), pages 168-175.
    11. Scalas, Enrico & Garibaldi, Ubaldo, 2009. "A Dynamic Probabilistic Version of the Aoki-Yoshikawa Sectoral Productivity Model," Economics - The Open-Access, Open-Assessment E-Journal (2007-2020), Kiel Institute for the World Economy (IfW Kiel), vol. 3, pages 1-10.
    12. Lorenzo Pareschi & Giuseppe Toscani, 2014. "Wealth distribution and collective knowledge. A Boltzmann approach," Papers 1401.4550, arXiv.org.
    13. N. Bagatella-Flores & M. Rodriguez-Achach & H. F. Coronel-Brizio & A. R. Hernandez-Montoya, 2014. "Wealth distribution of simple exchange models coupled with extremal dynamics," Papers 1407.7153, arXiv.org.
    14. Schinckus, C., 2013. "Between complexity of modelling and modelling of complexity: An essay on econophysics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(17), pages 3654-3665.
    15. Düring, Bertram & Matthes, Daniel & Toscani, Giuseppe, 2008. "A Boltzmann-type approach to the formation of wealth distribution curves," CoFE Discussion Papers 08/05, University of Konstanz, Center of Finance and Econometrics (CoFE).
    16. Hu, Chunhua & Feng, Huarong, 2024. "Kinetic model for asset allocation with strategy switching," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 636(C).
    17. Victor M. Yakovenko & J. Barkley Rosser, 2009. "Colloquium: Statistical mechanics of money, wealth, and income," Papers 0905.1518, arXiv.org, revised Dec 2009.
    18. Gualandi, Stefano & Toscani, Giuseppe, 2018. "Pareto tails in socio-economic phenomena: A kinetic description," Economics - The Open-Access, Open-Assessment E-Journal (2007-2020), Kiel Institute for the World Economy (IfW Kiel), vol. 12, pages 1-17.

  24. Scalas, Enrico & Gallegati, Mauro & Guerci, Eric & Mas, David & Tedeschi, Alessandra, 2006. "Growth and allocation of resources in economics: The agent-based approach," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 370(1), pages 86-90.
    See citations under working paper version above.
  25. M. Gallegati & A. Palestrini & D. Gatti & E. Scalas, 2006. "Aggregation of Heterogeneous Interacting Agents: The Variant Representative Agent Framework," Journal of Economic Interaction and Coordination, Springer;Society for Economic Science with Heterogeneous Interacting Agents, vol. 1(1), pages 5-19, May.

    Cited by:

    1. Lengnick, Matthias, 2011. "Agent-based macroeconomics - a baseline model," Economics Working Papers 2011-04, Christian-Albrechts-University of Kiel, Department of Economics.
    2. Corrado Di Guilmi & Mauro Gallegati & Simone Landini, 2007. "Economic dynamics with financial fragility and mean-field interaction: a model," Papers 0709.2083, arXiv.org.
    3. Gaffeo, E. & Catalano, M. & Clementi, F. & Delli Gatti, D. & Gallegati, M. & Russo, A., 2007. "Reflections on modern macroeconomics: Can we travel along a safer road?," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 382(1), pages 89-97.
    4. Simone Landini & Mauro Gallegati, 2014. "Heterogeneity, interaction and emergence: effects of composition," International Journal of Computational Economics and Econometrics, Inderscience Enterprises Ltd, vol. 4(3/4), pages 339-361.
    5. Assenza, Tiziana & Delli Gatti, Domenico, 2013. "E Pluribus Unum: Macroeconomic modelling for multi-agent economies," Journal of Economic Dynamics and Control, Elsevier, vol. 37(8), pages 1659-1682.
    6. Chen, Shu-Heng, 2012. "Varieties of agents in agent-based computational economics: A historical and an interdisciplinary perspective," Journal of Economic Dynamics and Control, Elsevier, vol. 36(1), pages 1-25.
    7. Chen, Shu-Heng & Chang, Chia-Ling & Tseng, Yi-Heng, 2014. "Social networks, social interaction and macroeconomic dynamics: How much could Ernst Ising help DSGE?," Research in International Business and Finance, Elsevier, vol. 30(C), pages 312-335.
    8. Leonardo Bargigli & Luca Riccetti & Alberto Russo & Mauro Gallegati, 2016. "Network Calibration and Metamodeling of a Financial Accelerator Agent Based Model," Working Papers - Economics wp2016_01.rdf, Universita' degli Studi di Firenze, Dipartimento di Scienze per l'Economia e l'Impresa.
    9. Simone Landini & Mariacristina Uberti, 2008. "A Statistical Mechanic View of Macro-dynamics in Economics," Computational Economics, Springer;Society for Computational Economics, vol. 32(1), pages 121-146, September.
    10. Tiziana Assenza & Domenico Delli Gatti, 2019. "The financial transmission of shocks in a simple hybrid macroeconomic agent based model," Journal of Evolutionary Economics, Springer, vol. 29(1), pages 265-297, March.
    11. Domenico Delli Gatti & Corrado Di Guilmi & Mauro Gallegati & Simone Landini, 2012. "Reconstructing Aggregate Dynamics in Heterogeneous Agents Models. A Markovian Approach," Revue de l'OFCE, Presses de Sciences-Po, vol. 0(5), pages 117-146.
    12. Tiziana Assenza & Domenico Delli Gatti & Mauro Gallegati, 2010. "Financial Instability and Agents’ Heterogenity: A Post Minskyan Research Agenda," Chapters, in: Dimitri B. Papadimitriou & L. Randall Wray (ed.), The Elgar Companion to Hyman Minsky, chapter 10, Edward Elgar Publishing.
    13. Jan Toporowski, 2013. "The Elgar Companion to Hyman Minsky," Review of Political Economy, Taylor & Francis Journals, vol. 25(1), pages 175-177, January.
    14. Ibrahim Ari & Muammer Koc, 2019. "Sustainable Financing for Sustainable Development: Agent-Based Modeling of Alternative Financing Models for Clean Energy Investments," Sustainability, MDPI, vol. 11(7), pages 1-34, April.
    15. Domenico Colucci & Matteo Vigna & Vincenzo Valori, 2022. "Large and uncertain heterogeneity of expectations: stability of equilibrium from a policy maker standpoint," Journal of Economic Interaction and Coordination, Springer;Society for Economic Science with Heterogeneous Interacting Agents, vol. 17(1), pages 319-348, January.
    16. Assenza, T. & Delli Gatti, D. & Gallegati, M., 2007. "Heterogeneity and Aggregation in a Financial Accelerator Model," CeNDEF Working Papers 07-13, Universiteit van Amsterdam, Center for Nonlinear Dynamics in Economics and Finance.

  26. Scalas, Enrico & Kaizoji, Taisei & Kirchler, Michael & Huber, Jürgen & Tedeschi, Alessandra, 2006. "Waiting times between orders and trades in double-auction markets," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 366(C), pages 463-471.
    See citations under working paper version above.
  27. Meerschaert, Mark M. & Scalas, Enrico, 2006. "Coupled continuous time random walks in finance," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 370(1), pages 114-118.
    See citations under working paper version above.
  28. Scalas, Enrico, 2006. "The application of continuous-time random walks in finance and economics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 362(2), pages 225-239.

    Cited by:

    1. Buyukkilic, F. & Ok Bayrakdar, Z. & Demirhan, D., 2015. "Investigation of cumulative growth process via Fibonacci method and fractional calculus," Applied Mathematics and Computation, Elsevier, vol. 265(C), pages 237-244.
    2. Zhi-Qiang Jiang & Wei Chen & Wei-Xing Zhou, 2008. "Detrended fluctuation analysis of intertrade durations," Papers 0806.2444, arXiv.org.
    3. Enrico Scalas & Mauro Politi, 2012. "A parsimonious model for intraday European option pricing," Papers 1202.4332, arXiv.org.
    4. Vallois, Pierre & Tapiero, Charles S., 2007. "Memory-based persistence in a counting random walk process," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 386(1), pages 303-317.
    5. Villarroel, Javier & Montero, Miquel, 2009. "On properties of continuous-time random walks with non-Poissonian jump-times," Chaos, Solitons & Fractals, Elsevier, vol. 42(1), pages 128-137.
    6. Jewgeni H. Dshalalow & Ryan T. White, 2021. "Current Trends in Random Walks on Random Lattices," Mathematics, MDPI, vol. 9(10), pages 1-38, May.
    7. Linda Ponta & Mailan Trinh & Marco Raberto & Enrico Scalas & Silvano Cincotti, 2012. "Modeling non-stationarities in high-frequency financial time series," Papers 1212.0479, arXiv.org, revised Feb 2017.
    8. Shota Gugushvili & Frank Meulen & Peter Spreij, 2018. "A non-parametric Bayesian approach to decompounding from high frequency data," Statistical Inference for Stochastic Processes, Springer, vol. 21(1), pages 53-79, April.
    9. Enrico Scalas, 2006. "Mixtures of compound Poisson processes as models of tick-by-tick financial data," Papers physics/0608217, arXiv.org.
    10. Masanao Aoki, "undated". "A New Non-ergodic Endogenous Growth Model," UCLA Economics Online Papers 392, UCLA Department of Economics.
    11. Kiran Sharma & Parul Khurana, 2021. "Growth and dynamics of Econophysics: a bibliometric and network analysis," Scientometrics, Springer;Akadémiai Kiadó, vol. 126(5), pages 4417-4436, May.
    12. Sazuka, Naoya & Inoue, Jun-ichi & Scalas, Enrico, 2009. "The distribution of first-passage times and durations in FOREX and future markets," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(14), pages 2839-2853.
    13. Valentina V. Tarasova & Vasily E. Tarasov, 2017. "Dynamic intersectoral models with power-law memory," Papers 1712.09087, arXiv.org.
    14. Tóth, Bence & Kertész, János, 2009. "Accurate estimator of correlations between asynchronous signals," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(8), pages 1696-1705.
    15. Enrico Scalas & Mauro Gallegati & Eric Guerci & David Mas & Alessandra Tedeschi, 2006. "Growth and Allocation of Resources in Economics: The Agent-Based Approach," Papers physics/0608221, arXiv.org.
    16. de Lacerda, K.J.C.C. & da Silva, L.R. & Viswanathan, G.M. & Cressoni, J.C. & da Silva, M.A.A., 2022. "A random walk model with a mixed memory profile: Exponential and rectangular profile," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 597(C).
    17. Javier Villarroel & Miquel Montero, 2008. "On properties of Continuous-Time Random Walks with Non-Poissonian jump-times," Papers 0812.2148, arXiv.org.
    18. Jiang, Zhi-Qiang & Chen, Wei & Zhou, Wei-Xing, 2008. "Scaling in the distribution of intertrade durations of Chinese stocks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(23), pages 5818-5825.
    19. Masanao Aoki, 2006. "Growth Patterns of Two Types of Macro-Models: Limiting Behavior of One-and Two-Parameter Poisson-Dirichlet Models," CIRJE F-Series CIRJE-F-446, CIRJE, Faculty of Economics, University of Tokyo.
    20. Politi, Mauro & Scalas, Enrico, 2008. "Fitting the empirical distribution of intertrade durations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(8), pages 2025-2034.
    21. Valle, Mauricio A. & Ruz, Gonzalo A. & Rica, Sergio, 2019. "Market basket analysis by solving the inverse Ising problem: Discovering pairwise interaction strengths among products," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 524(C), pages 36-44.
    22. Ali Balcı, Mehmet, 2017. "Time fractional capital-induced labor migration model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 477(C), pages 91-98.
    23. Giulio Bottazzi & Daniele Giachini, 2016. "Wealth and Price Distribution by Diffusive Approximation in a Repeated Prediction Market," LEM Papers Series 2016/13, Laboratory of Economics and Management (LEM), Sant'Anna School of Advanced Studies, Pisa, Italy.
    24. David, S.A. & Machado, J.A.T. & Quintino, D.D. & Balthazar, J.M., 2016. "Partial chaos suppression in a fractional order macroeconomic model," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 122(C), pages 55-68.
    25. Lv, Longjin & Xiao, Jianbin & Fan, Liangzhong & Ren, Fuyao, 2016. "Correlated continuous time random walk and option pricing," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 447(C), pages 100-107.
    26. Zoltan Eisler & Janos Kertesz & Fabrizio Lillo & Rosario Mantegna, 2009. "Diffusive behavior and the modeling of characteristic times in limit order executions," Quantitative Finance, Taylor & Francis Journals, vol. 9(5), pages 547-563.
    27. Hung Diep & Gabriel Desgranges, 2021. "Dynamics of the price behavior in stock markets: A statistical physics approach," Post-Print hal-03637808, HAL.
    28. Xiao-Hui Ni & Zhi-Qiang Jiang & Gao-Feng Gu & Fei Ren & Wei Chen & Wei-Xing Zhou, 2009. "Scaling and memory in the non-poisson process of limit order cancelation," Papers 0911.0057, arXiv.org.
    29. Bertram, William K., 2008. "Measuring time dependent volatility and cross-sectional correlation in Australian equity returns," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(13), pages 3183-3191.
    30. Andrzej Buda, 2011. "Life time of correlation between stocks prices on established and emerging markets," Papers 1105.6272, arXiv.org.
    31. Ribeiro, Andre F., 2021. "Competition, Diversity and Quality," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 568(C).
    32. Vasily E. Tarasov, 2019. "On History of Mathematical Economics: Application of Fractional Calculus," Mathematics, MDPI, vol. 7(6), pages 1-28, June.
    33. Tarasov, Vasily E., 2020. "Fractional econophysics: Market price dynamics with memory effects," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 557(C).
    34. Jaros{l}aw Klamut & Tomasz Gubiec, 2018. "Directed Continuous-Time Random Walk with memory," Papers 1807.01934, arXiv.org.
    35. Valentina V. Tarasova & Vasily E. Tarasov, 2017. "Concept of dynamic memory in economics," Papers 1712.09088, arXiv.org.
    36. Michalis Skourtos & Dimitris Damigos & Areti Kontogianni & Christos Tourkolias & Alistair Hunt, 2019. "Embedding Preference Uncertainty for Environmental Amenities in Climate Change Economic Assessments: A “Random” Step Forward," Economies, MDPI, vol. 7(4), pages 1-22, October.
    37. Gao, Tingting & Chen, Yu, 2017. "A quantum anharmonic oscillator model for the stock market," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 468(C), pages 307-314.
    38. Francesco Mainardi, 2020. "On the Advent of Fractional Calculus in Econophysics via Continuous-Time Random Walk," Mathematics, MDPI, vol. 8(4), pages 1-9, April.
    39. Giulio Bottazzi, 2007. "On the Irreconcilability of Pareto and Gibrat Laws," LEM Papers Series 2007/10, Laboratory of Economics and Management (LEM), Sant'Anna School of Advanced Studies, Pisa, Italy.
    40. Tijana Radivojević & Jonatha Anselmi & Enrico Scalas, 2014. "Ergodic Transition in a Simple Model of the Continuous Double Auction," PLOS ONE, Public Library of Science, vol. 9(2), pages 1-5, February.
    41. Kuroda, Koji & Murai, Joshin, 2007. "Limit theorems in financial market models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 383(1), pages 28-34.
    42. Vasily E. Tarasov & Valentina V. Tarasova, 2019. "Dynamic Keynesian Model of Economic Growth with Memory and Lag," Mathematics, MDPI, vol. 7(2), pages 1-17, February.
    43. D’Amico, Guglielmo & Janssen, Jacques & Manca, Raimondo, 2009. "European and American options: The semi-Markov case," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(15), pages 3181-3194.
    44. Fabienne Comte & Céline Duval & Valentine Genon-Catalot, 2014. "Nonparametric density estimation in compound Poisson processes using convolution power estimators," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 77(1), pages 163-183, January.
    45. Gorenflo, Rudolf & Mainardi, Francesco & Vivoli, Alessandro, 2007. "Continuous-time random walk and parametric subordination in fractional diffusion," Chaos, Solitons & Fractals, Elsevier, vol. 34(1), pages 87-103.
    46. Tim Breitenbach & Mario Annunziato & Alfio Borzì, 2018. "On the Optimal Control of a Random Walk with Jumps and Barriers," Methodology and Computing in Applied Probability, Springer, vol. 20(1), pages 435-462, March.
    47. Bolster, Diogo & Benson, David A. & Singha, Kamini, 2017. "Upscaling chemical reactions in multicontinuum systems: When might time fractional equations work?," Chaos, Solitons & Fractals, Elsevier, vol. 102(C), pages 414-425.

  29. Di Matteo, T. & Airoldi, M. & Scalas, E., 2004. "On pricing of interest rate derivatives," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 339(1), pages 189-196.
    See citations under working paper version above.
  30. Enrico Scalas & Rudolf Gorenflo & Hugh Luckock & Francesco Mainardi & Maurizio Mantelli & Marco Raberto, 2004. "Anomalous waiting times in high-frequency financial data," Quantitative Finance, Taylor & Francis Journals, vol. 4(6), pages 695-702.
    See citations under working paper version above.
  31. Raberto, Marco & Scalas, Enrico & Mainardi, Francesco, 2002. "Waiting-times and returns in high-frequency financial data: an empirical study," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 314(1), pages 749-755.
    See citations under working paper version above.
  32. Scalas, Enrico & Gorenflo, Rudolf & Mainardi, Francesco, 2000. "Fractional calculus and continuous-time finance," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 284(1), pages 376-384.
    See citations under working paper version above.
  33. Mainardi, Francesco & Raberto, Marco & Gorenflo, Rudolf & Scalas, Enrico, 2000. "Fractional calculus and continuous-time finance II: the waiting-time distribution," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 287(3), pages 468-481.
    See citations under working paper version above.
  34. Raberto, Marco & Scalas, Enrico & Cuniberti, Gianaurelio & Riani, Massimo, 1999. "Volatility in the Italian stock market: an empirical study," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 269(1), pages 148-155.
    See citations under working paper version above.
  35. Cuniberti, Gianaurelio & Raberto, Marco & Scalas, Enrico, 1999. "Correlations in the bond-future market," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 269(1), pages 90-97.
    See citations under working paper version above.
  36. Scalas, Enrico, 1998. "Scaling in the market of futures," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 253(1), pages 394-402.

    Cited by:

    1. Morales, Raffaello & Di Matteo, T. & Gramatica, Ruggero & Aste, Tomaso, 2012. "Dynamical generalized Hurst exponent as a tool to monitor unstable periods in financial time series," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(11), pages 3180-3189.
    2. Raffaello Morales & T. Di Matteo & Ruggero Gramatica & Tomaso Aste, 2011. "Dynamical Hurst exponent as a tool to monitor unstable periods in financial time series," Papers 1109.0465, arXiv.org.
    3. Ioannis P. Antoniades & Giuseppe Brandi & L. G. Magafas & T. Di Matteo, 2020. "The use of scaling properties to detect relevant changes in financial time series: a new visual warning tool," Papers 2010.08890, arXiv.org, revised Dec 2020.
    4. Zhuang, Xin-tian & Huang, Xiao-yuan & Sha, Yan-li, 2004. "Research on the fractal structure in the Chinese stock market," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 333(C), pages 293-305.
    5. Antoniades, I.P. & Brandi, Giuseppe & Magafas, L. & Di Matteo, T., 2021. "The use of scaling properties to detect relevant changes in financial time series: A new visual warning tool," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 565(C).
    6. Kang, Sang Hoon & Yoon, Seong-Min, 2007. "Long memory properties in return and volatility: Evidence from the Korean stock market," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 385(2), pages 591-600.

Chapters

  1. Tijana Radivojević & Jonatha Anselmi & Enrico Scalas, 2012. "A stylized model for the continuous double auction," Lecture Notes in Economics and Mathematical Systems, in: Andrea Teglio & Simone Alfarano & Eva Camacho-Cuena & Miguel Ginés-Vilar (ed.), Managing Market Complexity, edition 127, chapter 0, pages 115-125, Springer.

    Cited by:

    1. Enrico Scalas & Fabio Rapallo & Tijana Radivojevi'c, 2016. "Low-traffic limit and first-passage times for a simple model of the continuous double auction," Papers 1603.09666, arXiv.org.
    2. Tijana Radivojević & Jonatha Anselmi & Enrico Scalas, 2014. "Ergodic Transition in a Simple Model of the Continuous Double Auction," PLOS ONE, Public Library of Science, vol. 9(2), pages 1-5, February.

  2. Silvano Cincotti & Sergio M. Focardi & Linda Ponta & Marco Raberto & Enrico Scalas, 2006. "The Waiting-Time Distribution of Trading Activity in a Double Auction Artificial Financial Market," Lecture Notes in Economics and Mathematical Systems, in: Akira Namatame & Taisei Kaizouji & Yuuji Aruka (ed.), The Complex Networks of Economic Interactions, pages 239-247, Springer.

    Cited by:

    1. Can Yilmaz Altinigne & Harun Ozkan & Veli Can Kupeli & Zehra Cataltepe, 2019. "An Empirical Study on Arrival Rates of Limit Orders and Order Cancellation Rates in Borsa Istanbul," Papers 1909.08308, arXiv.org.

  3. Enrico Scalas, 2006. "Five Years of Continuous-time Random Walks in Econophysics," Lecture Notes in Economics and Mathematical Systems, in: Akira Namatame & Taisei Kaizouji & Yuuji Aruka (ed.), The Complex Networks of Economic Interactions, pages 3-16, Springer.
    See citations under working paper version above.
  4. Enrico Scalas & Silvano Cincotti & Christian Dose & Marco Raberto, 2005. "Fraudulent Agents in an Artificial Financial Market," Lecture Notes in Economics and Mathematical Systems, in: Thomas Lux & Eleni Samanidou & Stefan Reitz (ed.), Nonlinear Dynamics and Heterogeneous Interacting Agents, pages 317-326, Springer.

    Cited by:

    1. Bence Toth & Enrico Scalas & Juergen Huber & Michael Kirchler, 2006. "The value of information in a multi-agent market model," Papers physics/0610026, arXiv.org, revised Feb 2007.
    2. Bence Toth & Enrico Scalas, 2007. "The value of information in financial markets: An agent-based simulation," Papers 0712.2687, arXiv.org.
    3. Hermsen, Oliver & Witte, Björn-Christopher & Westerhoff, Frank, 2010. "Disclosure requirements, the release of new information and market efficiency: new insights from agent-based models," Economics - The Open-Access, Open-Assessment E-Journal (2007-2020), Kiel Institute for the World Economy (IfW Kiel), vol. 4, pages 1-26.

Books

  1. Lukáš Pichl & Cheoljun Eom & Enrico Scalas & Taisei Kaizoji (ed.), 2020. "Advanced Studies of Financial Technologies and Cryptocurrency Markets," Springer Books, Springer, number 978-981-15-4498-9, June.

    Cited by:

    1. Bazán-Palomino, Walter, 2021. "How are Bitcoin forks related to Bitcoin?," Finance Research Letters, Elsevier, vol. 40(C).
    2. Ping-Chen Tsai & Chi-Ming Tsai, 2021. "Estimating the proportion of informed and speculative traders in financial markets: evidence from exchange rate," Journal of Economic Interaction and Coordination, Springer;Society for Economic Science with Heterogeneous Interacting Agents, vol. 16(3), pages 443-470, July.

  2. Garibaldi,Ubaldo & Scalas,Enrico, 2010. "Finitary Probabilistic Methods in Econophysics," Cambridge Books, Cambridge University Press, number 9780521515597, January.

    Cited by:

    1. Aoki, Masanao & Yoshikawa, Hiroshi, 2007. "Non-Self-Averaging in Macroeconomic Models: A Criticism of Modern Micro-founded Macroeconomics," Economics Discussion Papers 2007-49, Kiel Institute for the World Economy (IfW Kiel).
    2. Philipp Mundt & Mishael Milakovic & Simone Alfarano, 2014. "Gibrat's law redux: Think profitability instead of growth," Working Papers 2014/02, Economics Department, Universitat Jaume I, Castellón (Spain).
    3. Düring, Bertram & Georgiou, Nicos & Merino-Aceituno, Sara & Scalas, Enrico, 2022. "Continuum and thermodynamic limits for a simple random-exchange model," Stochastic Processes and their Applications, Elsevier, vol. 149(C), pages 248-277.
    4. Cristiano Bocci & Luca Chiantini & Fabio Rapallo, 2014. "Max-Plus Objects to Study the Complexity of Graphs," Methodology and Computing in Applied Probability, Springer, vol. 16(3), pages 507-525, September.
    5. Alfarano Simone & Milakovic Mishael, 2012. "Identification of Interaction Effects in Survey Expectations: A Cautionary Note," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 16(4), pages 1-23, October.
    6. Giulio Bottazzi & Ugo Gragnolati & Vanni Fabio, 2015. "Non-linear externalities in firm localization," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) hal-01297132, HAL.
    7. Enrico Scalas & Tijana Radivojević & Ubaldo Garibaldi, 2015. "Wealth distribution and the Lorenz curve: a finitary approach," Journal of Economic Interaction and Coordination, Springer;Society for Economic Science with Heterogeneous Interacting Agents, vol. 10(1), pages 79-89, April.
    8. Taleb, Nassim Nicholas & Bar-Yam, Yaneer & Cirillo, Pasquale, 2022. "On single point forecasts for fat-tailed variables," International Journal of Forecasting, Elsevier, vol. 38(2), pages 413-422.
    9. Eliazar, Iddo I. & Cohen, Morrel H., 2013. "On the physical interpretation of statistical data from black-box systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(13), pages 2924-2939.
    10. Tomas Skovranek, 2019. "The Mittag-Leffler Fitting of the Phillips Curve," Mathematics, MDPI, vol. 7(7), pages 1-11, July.
    11. Vidal-Tomás, David & Alfarano, Simone, 2018. "An agent based early warning indicator for financial market instability," MPRA Paper 89693, University Library of Munich, Germany.
    12. Nassim Nicholas Taleb & Yaneer Bar-Yam & Pasquale Cirillo, 2020. "On Single Point Forecasts for Fat-Tailed Variables," Papers 2007.16096, arXiv.org.
    13. Mundt, Philipp & Alfarano, Simone & Milaković, Mishael, 2019. "Exploiting ergodicity in forecasts of corporate profitability," BERG Working Paper Series 147, Bamberg University, Bamberg Economic Research Group.
    14. Leonardo Bargigli & Andrea Lionetto & Stefano Viaggiu, 2013. "A Statistical Equilibrium Representation of Markets as Complex Networks," Working Papers - Economics wp2013_23.rdf, Universita' degli Studi di Firenze, Dipartimento di Scienze per l'Economia e l'Impresa.
    15. Bertram During & Nicos Georgiou & Enrico Scalas, 2016. "A stylized model for wealth distribution," Papers 1609.08978, arXiv.org, revised Jul 2021.
    16. Bagatella-Flores, N. & Rodríguez-Achach, M. & Coronel-Brizio, H.F. & Hernández-Montoya, A.R., 2015. "Wealth distribution of simple exchange models coupled with extremal dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 417(C), pages 168-175.
    17. N. Bagatella-Flores & M. Rodriguez-Achach & H. F. Coronel-Brizio & A. R. Hernandez-Montoya, 2014. "Wealth distribution of simple exchange models coupled with extremal dynamics," Papers 1407.7153, arXiv.org.
    18. Giulio Bottazzi & Daniele Giachini, 2016. "Wealth and Price Distribution by Diffusive Approximation in a Repeated Prediction Market," LEM Papers Series 2016/13, Laboratory of Economics and Management (LEM), Sant'Anna School of Advanced Studies, Pisa, Italy.
    19. Ellis Scharfenaker, 2020. "Statistical Equilibrium Methods in Analytical Political Economy," Working Paper Series, Department of Economics, University of Utah 2020_05, University of Utah, Department of Economics.
    20. Sergey Sosnovskiy, 2015. "Market shape formation, statistical equilibrium and neutral evolution theory," Papers 1506.07163, arXiv.org.
    21. Domenico Delli Gatti & Corrado Di Guilmi & Mauro Gallegati & Simone Landini, 2012. "Reconstructing Aggregate Dynamics in Heterogeneous Agents Models. A Markovian Approach," Revue de l'OFCE, Presses de Sciences-Po, vol. 0(5), pages 117-146.
    22. AOYAMA Hideaki & IYETOMI Hiroshi & YOSHIKAWA Hiroshi, 2012. "Equilibrium Distribution of Labor Productivity," Discussion papers 12041, Research Institute of Economy, Trade and Industry (RIETI).
    23. Ilona Bednarek & Marcin Makowski & Edward W. Piotrowski & Jan S{l}adkowski & Jacek Syska, 2015. "Generalization of the Aoki-Yoshikawa sectoral productivity model based on extreme physical information principle," Papers 1504.07604, arXiv.org.
    24. Takero Ibuki & Shunsuke Higano & Sei Suzuki & Jun-ichi Inoue & Anirban Chakraborti, 2013. "Statistical inference of co-movements of stocks during a financial crisis," Papers 1309.1871, arXiv.org.
    25. Hiroshi Yoshikawa, 2015. "Stochastic macro-equilibrium: a microfoundation for the Keynesian economics," Journal of Economic Interaction and Coordination, Springer;Society for Economic Science with Heterogeneous Interacting Agents, vol. 10(1), pages 31-55, April.
    26. Dervis Can Vural, 2011. "When Models Interact with Their Subjects: The Dynamics of Model Aware Systems," PLOS ONE, Public Library of Science, vol. 6(6), pages 1-6, June.
    27. Ugo M. Gragnolati & Alessandro Nuvolari, 2023. "Innovation, localized externalities, and the British Industrial Revolution, 1700-1850," LEM Papers Series 2023/26, Laboratory of Economics and Management (LEM), Sant'Anna School of Advanced Studies, Pisa, Italy.
    28. Atushi Ishikawa & Takayuki Mizuno & Shouji Fujimoto, 2022. "Employee Number Dependence in Labor Productivity Distribution," The Review of Socionetwork Strategies, Springer, vol. 16(2), pages 465-477, October.
    29. He, Xiaoli & Wang, Hongwu & Du, Ziping, 2014. "The complexity and fractal structures of CSI300 before and after the introduction of CSI300IF," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 414(C), pages 76-85.
    30. Leonardo Bargigli & Andrea Lionetto & Stefano Viaggiu, 2013. "A Statistical Test of Walrasian Equilibrium by Means of Complex Networks Theory," Papers 1307.0817, arXiv.org, revised Sep 2016.
    31. U. Garibaldi & P. Viarengo, 2012. "Exchangeability and non-self-averaging," Journal of Economic Interaction and Coordination, Springer;Society for Economic Science with Heterogeneous Interacting Agents, vol. 7(2), pages 181-195, October.
    32. Pasquale Cirillo & Mauro Gallegati & Jürg Hüsler, 2012. "A Pólya Lattice Model To Study Leverage Dynamics And Contagious Financial Fragility," Advances in Complex Systems (ACS), World Scientific Publishing Co. Pte. Ltd., vol. 15(supp0), pages 1-26.
    33. Cohen, Morrel H. & Eliazar, Iddo I., 2013. "Econophysical visualization of Adam Smith’s invisible hand," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(4), pages 813-823.
    34. Sergey Sosnovskiy, 2015. "On financial applications of the two-parameter Poisson-Dirichlet distribution," Papers 1501.01954, arXiv.org, revised Jul 2015.
    35. Mundt, Philipp & Förster, Niels & Alfarano, Simone & Milaković, Mishael, 2014. "The real versus the financial economy: A global tale of stability versus volatility," Economics - The Open-Access, Open-Assessment E-Journal (2007-2020), Kiel Institute for the World Economy (IfW Kiel), vol. 8, pages 1-26.
    36. Tijana Radivojević & Jonatha Anselmi & Enrico Scalas, 2014. "Ergodic Transition in a Simple Model of the Continuous Double Auction," PLOS ONE, Public Library of Science, vol. 9(2), pages 1-5, February.

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