Exact record and order statistics of random walks via first-passage ideas
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- Krug, Joachim & Jain, Kavita, 2005. "Breaking records in the evolutionary race," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 358(1), pages 1-9.
- Le Doussal, Pierre & Monthus, Cécile, 2003. "Exact solutions for the statistics of extrema of some random 1D landscapes, application to the equilibrium and the dynamics of the toy model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 317(1), pages 140-198.
- Gregor Wergen & Satya N. Majumdar & Gregory Schehr, 2012. "Record Statistics for Multiple Random Walks," Papers 1204.5039, arXiv.org.
- P. Sibani, 2007. "Linear response in aging glassy systems, intermittency and the Poisson statistics of record fluctuations," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 58(4), pages 483-491, August.
- Gregor Wergen & Satya N. Majumdar & Gregory Schehr, 2012. "Record Statistics for Multiple Random Walks," Post-Print hal-00757701, HAL.
- Satya N. Majumdar & Philippe Mounaix & Gregory Schehr, 2013. "Exact Statistics of the Gap and Time Interval Between the First Two Maxima of Random Walks," Post-Print hal-00861416, HAL.
- Satya N. Majumdar & Gregory Schehr & Gregor Wergen, 2012. "Record statistics and persistence for a random walk with a drift," Post-Print hal-00744525, HAL.
- Satya N. Majumdar & Gregory Schehr & Gregor Wergen, 2012. "Record statistics and persistence for a random walk with a drift," Papers 1206.6972, arXiv.org, revised Aug 2012.
- Gregor Wergen & Miro Bogner & Joachim Krug, 2011. "Record statistics for biased random walks, with an application to financial data," Papers 1103.0893, arXiv.org.
- Satya N. Majumdar & Philippe Mounaix & Gregory Schehr, 2013. "Exact Statistics of the Gap and Time Interval Between the First Two Maxima of Random Walks," Papers 1303.4607, arXiv.org.
- Jean-Philippe Bouchaud & Marc Mezard, 1997. "Universality classes for extreme value statistics," Science & Finance (CFM) working paper archive 500043, Science & Finance, Capital Fund Management.
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- Srivastava, Shashi C.L. & Lakshminarayan, Arul, 2015. "Records in the classical and quantum standard map," Chaos, Solitons & Fractals, Elsevier, vol. 74(C), pages 67-78.
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This paper has been announced in the following NEP Reports:- NEP-ECM-2013-05-11 (Econometrics)
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