IDEAS home Printed from https://ideas.repec.org/p/arx/papers/1103.2001.html
   My bibliography  Save this paper

Emergence of double scaling law in complex system

Author

Listed:
  • D. D. Han
  • J. H. Qian
  • Y. G. Ma

Abstract

We introduce a stochastic model to explain a double power-law distribution which exhibits two different Paretian behaviors in the upper and the lower tail and widely exists in social and economic systems. The model incorporates fitness consideration and noise fluctuation. We find that if the number of variables (e.g. the degree of nodes in complex networks or people's incomes) grows exponentially, normal distributed fitness coupled with exponentially increasing variable is responsible for the emergence of the double power-law distribution. Fluctuations do not change the result qualitatively but contribute to the second-part scaling exponent. The evolution of Chinese airline network is taken as an example to show a nice agreement with our stochastic model.

Suggested Citation

  • D. D. Han & J. H. Qian & Y. G. Ma, 2011. "Emergence of double scaling law in complex system," Papers 1103.2001, arXiv.org.
    • Handle: RePEc:arx:papers:1103.2001
    as

    Download full text from publisher

    File URL: http://arxiv.org/pdf/1103.2001
    File Function: Latest version
    Download Restriction: no
    ---><---

    Citations

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


    Cited by:

    1. Aniket Magarkar & Nawel Mele & Noha Abdel-Rahman & Sarah Butcher & Mika Torkkeli & Ritva Serimaa & Arja Paananen & Markus Linder & Alex Bunker, 2014. "Hydrophobin Film Structure for HFBI and HFBII and Mechanism for Accelerated Film Formation," PLOS Computational Biology, Public Library of Science, vol. 10(7), pages 1-13, July.
    2. Yuan, Wei-Guo & Liu, Yun, 2015. "A mixing evolution model for bidirectional microblog user networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 432(C), pages 167-179.

    More about this item

    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:arx:papers:1103.2001. 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.

    We have no bibliographic references for this item. You can help adding them by using 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: arXiv administrators (email available below). General contact details of provider: http://arxiv.org/ .

    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.