IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v233y1996i1p419-440.html
   My bibliography  Save this article

Dynamical systems of Langevin type

Author

Listed:
  • Beck, Christian

Abstract

Dynamical systems of Langevin type are deterministic mappings that arise if the Gaussian white noise of a Langevin equation is replaced by a deterministic chaotic dynamics. We describe the various types of mappings that can be obtained in this way, and investigate typical transition scenarios from complicated non-Gaussian to Langevin-like behavior that occur if a time scale parameter is changed. We define a new characteristic quantify fir ergodic mappings called ‘effective Langevin radius’, which is related to the critical time scale where the marginal invariant density of the dynamical system of Langevin type loses its differentiability. The invariant density is shown to contain useful information on the entire characteristic functional of the chaotic driving force. Some general symmetry properties of the invariant densities are discussed.

Suggested Citation

  • Beck, Christian, 1996. "Dynamical systems of Langevin type," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 233(1), pages 419-440.
    • Handle: RePEc:eee:phsmap:v:233:y:1996:i:1:p:419-440
    DOI: 10.1016/S0378-4371(96)00254-3
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437196002543
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000
    File URL: https://libkey.io/10.1016/S0378-4371(96)00254-3?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Rubio, Gonzalo, 1988. "Further international evidence on asset pricing : The case of the Spanish capital market," Journal of Banking & Finance, Elsevier, vol. 12(2), pages 221-242, June.
    2. Schuster, Walter, 1990. "Agency problems and ownership forms -- The case of ICA," Scandinavian Journal of Management, Elsevier, vol. 6(4), pages 251-266.
    3. B. Curtis Eaves & James A. Yorke, 1984. "Equivalence of Surface Density and Average Directional Density," Mathematics of Operations Research, INFORMS, vol. 9(3), pages 363-375, August.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Wolfgang Aussenegg & Andreas Grünbichler, 1999. "Der Size-Effekt am Österreichischen Aktienmarkt," Schmalenbach Journal of Business Research, Springer, vol. 51(7), pages 636-661, July.
    2. Steven Heston & K. Rouwenhorst & Roberto Wessels, 2008. "The Role of Beta and Size in the Cross-Section of European Stock Returns," Yale School of Management Working Papers ysm86, Yale School of Management.
    3. De Moor, Lieven & Sercu, Piet, 2013. "The smallest firm effect: An international study," Journal of International Money and Finance, Elsevier, vol. 32(C), pages 129-155.
    4. Sentana, Enrique, 1995. "Risk and return in the Spanish stock market," LSE Research Online Documents on Economics 119179, London School of Economics and Political Science, LSE Library.
    5. Gabriel Hawawini & Donald B. Keim, "undated". "The Cross Section of Common Stock Returns: A Review of the Evidence and Some New Findings," Rodney L. White Center for Financial Research Working Papers 08-99, Wharton School Rodney L. White Center for Financial Research.
    6. Belén Nieto & Rosa Rodríguez & Rosa Rodríguez- Barrera, 2002. "The Consumption-Wealth And Book-To-Market Ratios In A Dynamic Asset Pricing Context," Working Papers. Serie EC 2002-24, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
    7. Rubio, Gonzalo, 1996. "The liquidity premiun in equity pricing under a continuous auction system," DEE - Working Papers. Business Economics. WB 7014, Universidad Carlos III de Madrid. Departamento de Economía de la Empresa.
    8. Juan Benjamin Duarte Duarte & Zulay Yesenia Ramirez Leon & Katherine Julieth Sierra Suarez, 2014. "Size Effect Study In The Major Stock Market Of America, Estudio Del Efecto Tamano En Los Principales Mercados Bursatiles De Latinoamerica," Revista Internacional Administracion & Finanzas, The Institute for Business and Finance Research, vol. 7(5), pages 41-50.
    9. Javed Iqbal & Aziz Haider, 2005. "Arbitrage Pricing Theory: Evidence From An Emerging Stock Market," Lahore Journal of Economics, Department of Economics, The Lahore School of Economics, vol. 10(1), pages 123-139, Jan-Jun.
    10. Pedro L. Sánchez-Torres & Enrique Sentana, 1998. "Mean-variance-skewness analysis: an application to risk premia in the Spanish stock market," Investigaciones Economicas, Fundación SEPI, vol. 22(1), pages 5-17, January.
    11. Juan Benjamín Duarte Duarte & Zulay Yesenia Ramírez León & Katherine Julieth Sierra Suárez, 2013. "Evaluación del efecto tamano de empresa en los mercados bursátiles de América Latina," Revista Ecos de Economía, Universidad EAFIT, December.
    12. Fernando Rubio, 2005. "Eficiencia De Mercado, Administracion De Carteras De Fondos Y Behavioural Finance," Finance 0503028, University Library of Munich, Germany, revised 23 Jul 2005.
    13. M. Victoria Esteban, 1997. "Variabilidad predecible en los rendimientos de los activos: Evidencia e implicaciones," Investigaciones Economicas, Fundación SEPI, vol. 21(3), pages 523-542, September.
    14. Marcelo, Jose Luis Miralles & Quiros, Maria del Mar Miralles, 2006. "The role of an illiquidity risk factor in asset pricing: Empirical evidence from the Spanish stock market," The Quarterly Review of Economics and Finance, Elsevier, vol. 46(2), pages 254-267, May.
    15. Steven L. Heston & K. Geert Rouwenhorst & Roberto E. Wessels, 1999. "The Role of Beta and Size in the Cross‐Section of European Stock Returns," European Financial Management, European Financial Management Association, vol. 5(1), pages 9-27, March.
    16. Martinez, Miguel A. & Nieto, Belen & Rubio, Gonzalo & Tapia, Mikel, 2005. "Asset pricing and systematic liquidity risk: An empirical investigation of the Spanish stock market," International Review of Economics & Finance, Elsevier, vol. 14(1), pages 81-103.
    17. Elena Marquez & Belen Nieto, 2011. "Further international evidence on durable consumption growth and long-run consumption risk," Quantitative Finance, Taylor & Francis Journals, vol. 11(2), pages 195-217.
    18. Fernando Rubio, 2004. "Contrastacion De Metodologías Para El Cálculo De Beta De Mercado: El Caso De España," Finance 0405030, University Library of Munich, Germany.
    19. van Dijk, Mathijs A., 2011. "Is size dead? A review of the size effect in equity returns," Journal of Banking & Finance, Elsevier, vol. 35(12), pages 3263-3274.
    20. Miralles Marcelo, José Luis & Miralles Quirós, María Del Mar & Miralles Quirós, José Luis., 2007. "Análisis Media-semivarianza: Una Aplicación A Las Primas De Riesgo En El Mercado De Valores Español/Mean-semivariance Analysis: An Application To Risk Premiums In The Spanish Stock Market," Estudios de Economia Aplicada, Estudios de Economia Aplicada, vol. 25, pages 199-214, Abril.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:phsmap:v:233:y:1996:i:1:p:419-440. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.