IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v375y2007i1p233-238.html

Power laws from randomly sampled continuous-time random walks

Author

Listed:
  • Mosetti, Giancarlo
  • Jug, Giancarlo
  • Scalas, Enrico

Abstract

It has been shown by Reed that random-sampling a Wiener process x(t) at times T chosen out of an exponential distribution gives rise to power laws in the distribution P(x(T))∼x(T)-β. We show, both theoretically and numerically, that this power-law behaviour also follows by random-sampling Lévy flights (as continuous-time random walks), having Fourier distribution w^(k)=e-|k|α, with the exponent β=α.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:phsmap:v:375:y:2007:i:1:p:233-238
    DOI: 10.1016/j.physa.2006.08.065
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437106009526
    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/j.physa.2006.08.065?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

    for a different version of it.

    References listed on IDEAS

    as
    1. anonymous, 1963. "Financing business investment," Federal Reserve Bulletin, Board of Governors of the Federal Reserve System (U.S.), issue Aug, pages 1039-1045.
    2. Gatti, Domenico Delli & Guilmi, Corrado Di & Gaffeo, Edoardo & Giulioni, Gianfranco & Gallegati, Mauro & Palestrini, Antonio, 2005. "A new approach to business fluctuations: heterogeneous interacting agents, scaling laws and financial fragility," Journal of Economic Behavior & Organization, Elsevier, vol. 56(4), pages 489-512, April.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    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.

    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. Popoyan, Lilit & Napoletano, Mauro & Roventini, Andrea, 2017. "Taming macroeconomic instability: Monetary and macro-prudential policy interactions in an agent-based model," Journal of Economic Behavior & Organization, Elsevier, vol. 134(C), pages 117-140.
    2. Francesco Lamperti & Antoine Mandel & Mauro Napoletano & Alessandro Sapio & Andrea Roventini & Tomas Balint & Igor Khorenzhenko, 2017. "Taming macroeconomic instability," Sciences Po Economics Publications (main) hal-03399574, HAL.
    3. Corrado Di Guilmi & Laura Carvalho, 2015. "The dynamics of leverage in a Minskyan model with heterogenous firms," Working Paper Series 28, Economics Discipline Group, UTS Business School, University of Technology, Sydney.
    4. Thomas Brenner & Matthias Duschl, 2018. "Modeling Firm and Market Dynamics: A Flexible Model Reproducing Existing Stylized Facts on Firm Growth," Computational Economics, Springer;Society for Computational Economics, vol. 52(3), pages 745-772, October.
    5. Ashraf, Quamrul & Gershman, Boris & Howitt, Peter, 2017. "Banks, market organization, and macroeconomic performance: An agent-based computational analysis," Journal of Economic Behavior & Organization, Elsevier, vol. 135(C), pages 143-180.
    6. Luca Riccetti & Alberto Russo & Mauro Gallegati, 2015. "An agent based decentralized matching macroeconomic model," Journal of Economic Interaction and Coordination, Springer;Society for Economic Science with Heterogeneous Interacting Agents, vol. 10(2), pages 305-332, October.
    7. Mandel, Antoine & Landini, Simone & Gallegati, Mauro & Gintis, Herbert, 2015. "Price dynamics, financial fragility and aggregate volatility," Journal of Economic Dynamics and Control, Elsevier, vol. 51(C), pages 257-277.
    8. Tedeschi, Gabriele & Recchioni, Maria Cristina & Berardi, Simone, 2019. "An approach to identifying micro behavior: How banks’ strategies influence financial cycles," Journal of Economic Behavior & Organization, Elsevier, vol. 162(C), pages 329-346.
    9. Emanuele Ciola & Edoardo Gaffeo & Mauro Gallegati, 2021. "Search for Profits and Business Fluctuations: How Banks' Behaviour Explain Cycles?," Working Papers 450, Universita' Politecnica delle Marche (I), Dipartimento di Scienze Economiche e Sociali.
    10. Paul De Grauwe, 2012. "Booms and busts: New Keynesian and behavioural explanations," Chapters, in: Robert M. Solow & Jean-Philippe Touffut (ed.), What’s Right with Macroeconomics?, chapter 6, pages 149-180, Edward Elgar Publishing.
    11. Ricetti, Luca & Russo, Alberto & Gallegati, Mauro, 2013. "Unemployment benefits and financial leverage in an agent based macroeconomic model," Economics - The Open-Access, Open-Assessment E-Journal (2007-2020), Kiel Institute for the World Economy, vol. 7, pages 1-44.
    12. Alberto Russo, 2009. "On the evolution of the Italian bank branch distribution," Economics Bulletin, AccessEcon, vol. 29(3), pages 2063-2078.
    13. Chu, Zhuang & Yang, Biao & Ha, Chang Yong & Ahn, Kwangwon, 2018. "Modeling GDP fluctuations with agent-based model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 503(C), pages 572-581.
    14. Henriet, Fanny & Hallegatte, Stéphane & Tabourier, Lionel, 2012. "Firm-network characteristics and economic robustness to natural disasters," Journal of Economic Dynamics and Control, Elsevier, vol. 36(1), pages 150-167.
    15. Lilit Popoyan, 2020. "Macroprudential Policy: a Blessing or a Curse?," Review of Economics and Institutions, Università di Perugia, vol. 11(1-2).
    16. Shijia Song & Handong Li, 2025. "Improving Price Generation: A Novel Agent-Based Model for Capturing Persistent Jumps in Asset Prices," Computational Economics, Springer;Society for Computational Economics, vol. 66(1), pages 421-452, July.
    17. Oldham, Matthew, 2020. "Quantifying the concerns of Dimon and Buffett with data and computation," Journal of Economic Dynamics and Control, Elsevier, vol. 113(C).
    18. Giorgio Fagiolo & Andrea Roventini, 2017. "Macroeconomic Policy in DSGE and Agent-Based Models Redux: New Developments and Challenges Ahead," Journal of Artificial Societies and Social Simulation, Journal of Artificial Societies and Social Simulation, vol. 20(1), pages 1-1.
    19. repec:spo:wpecon:info:hdl:2441/eu4vqp9ompqllr09j0h130d0n is not listed on IDEAS
    20. Ítalo Pedrosa & Dany Lang, 2018. "Heterogeneity, distribution and financial fragility of non-financial firms: an agent-based stock-flow consistent (AB-SFC) model," Working Papers hal-01937186, HAL.
    21. repec:spo:wpmain:info:hdl:2441/60095rf63b990rn4c1acm25tq6 is not listed on IDEAS
    22. Mauro Napoletano, 2018. "A Short Walk on the Wild Side: Agent-Based Models and their Implications for Macroeconomic Analysis," Revue de l'OFCE, Presses de Sciences-Po, vol. 0(3), pages 257-281.

    More about this item

    Keywords

    ;
    ;
    ;

    Statistics

    Access and download statistics

    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:375:y:2007:i:1:p:233-238. 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.