IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v245y1997i3p494-502.html
   My bibliography  Save this article

The boundary of “life” for a self-organized critical evolution: the role of the interaction range

Author

Listed:
  • Vandewalle, N.
  • Ausloos, M.

Abstract

The dynamics of a tree-like evolution is investigated as a function of the range k of the interactions between competing entities which are located at the extremities of the branches. Speciation (branching) events are supposed to be driven by extremal dynamics. Extinction events are allowed and controlled by a parameter r. A transition between self-organized critical and frozen evolution occurs at some well-defined critical value rc(k). Surprisingly, the critical rc value behaves as a power of the range k (rc∼k−δ) with an exponent δ = −0.46±0.03. Moreover, the asymptotic case k = +∞ is herein exactly solved. The dynamics for k = +∞ is not critical and does not present any transition in contrast with finite k cases.

Suggested Citation

  • Vandewalle, N. & Ausloos, M., 1997. "The boundary of “life” for a self-organized critical evolution: the role of the interaction range," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 245(3), pages 494-502.
    • Handle: RePEc:eee:phsmap:v:245:y:1997:i:3:p:494-502
    DOI: 10.1016/S0378-4371(97)00322-1
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437197003221
    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(97)00322-1?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. Aharony, Joseph & Saunders, Anthony & Swary, Itzhak, 1988. "The effects of DIDMCA on bank stockholders' returns and risk," Journal of Banking & Finance, Elsevier, vol. 12(3), pages 317-331, September.
    2. Vandewalle, N. & Ausloos, M., 1996. "Exact solution of the dynamic epidemic model on the Bethe lattice," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 230(1), pages 1-10.
    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. Ross N. Dickens & Roger M. Shelor & Marc C. Chopin, 1996. "Mortgage Lenders' Market Response to a Landmark Regulatory Decision Based on Fair Lending Compliance," Journal of Real Estate Research, American Real Estate Society, vol. 11(1), pages 57-70.
    2. Manna, S.S. & Stauffer, D. & Heermann, D.W., 1989. "Simulation of three-dimensional bootstrap percolation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 162(1), pages 20-26.
    3. Biegala, L. & Drzewiński, A. & Sznajd, J., 1996. "Low temperature phase of the quantum triangular lattice XY model with Dzyaloshinsky-Moriya interaction," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 225(2), pages 254-270.
    4. Duarte, J.A.M.S., 1989. "Simulation of a cellular automat with an oriented bootstrap rule," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 157(3), pages 1075-1079.
    5. Gwinner, William B. & Sanders, Anthony, 2008. "The sub prime crisis : implications for emerging markets," Policy Research Working Paper Series 4726, The World Bank.
    6. Brooks, Robert D. & Faff, Robert W. & Yew, Kee Ho, 1997. "A new test of the relationship between regulatory change in financial markets and the stability of beta risk of depository institutions," Journal of Banking & Finance, Elsevier, vol. 21(2), pages 197-219, February.
    7. Meakin, Paul & Birovljev, Aleksandar & Frette, Vidar & Feder, Jens & Jøssang, Torstein, 1992. "Gradient stabilized and destabilized invasion percolation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 191(1), pages 227-239.
    8. Mohanty, Sunil K. & Akhigbe, Aigbe & Basheikh, Abdulrahman & Khan, Haroon ur Rashid, 2018. "The Dodd-Frank Act and Basel III: Market-based risk implications for global systemically important banks (G-SIBs)," Journal of Multinational Financial Management, Elsevier, vol. 47, pages 91-109.
    9. Riccardo Ferretti & Andrea Cipollini & Francesco Pattarin, 2016. "Can an unglamorous non-event affect prices? The role of newspapers," Cogent Economics & Finance, Taylor & Francis Journals, vol. 4(1), pages 1142847-114, December.
    10. McKenzie, Michael D. & Brooks, Robert D. & Faff, Robert W. & Ho, Yew Kee, 2000. "Exploring the economic rationale of extremes in GARCH generated betas The case of U.S. banks," The Quarterly Review of Economics and Finance, Elsevier, vol. 40(1), pages 85-106.
    11. Chong, Beng-Soon & Liu, Ming-Hua & Altunbas, Yener, 1996. "The impact of universal banking on the risks and returns of Japanese financial institutions," Pacific-Basin Finance Journal, Elsevier, vol. 4(2-3), pages 181-195, July.
    12. Premti, Arjan & Jafarinejad, Mohammad & Balani, Henry, 2021. "The impact of the Fourth Anti-Money Laundering Directive on the valuation of EU banks," Research in International Business and Finance, Elsevier, vol. 57(C).
    13. Meakin, Paul & Wagner, Geri & Feder, Jens & Jøssang, Torstein, 1993. "Simulations of migration, fragmentation and coalescence of non-wetting fluids in porous media," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 200(1), pages 241-249.
    14. Vitanov, Nikolay K. & Vitanov, Kaloyan N., 2018. "Discrete-time model for a motion of substance in a channel of a network with application to channels of human migration," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 509(C), pages 635-650.
    15. Akhigbe, Aigbe & Whyte, Ann Marie, 2001. "The impact of FDICIA on bank returns and risk: Evidence from the capital markets," Journal of Banking & Finance, Elsevier, vol. 25(2), pages 393-417, February.
    16. Riccardo Ferretti & Francesco Pattarin, 2008. "Is public information really public? The role of newspapers," Centro Studi di Banca e Finanza (CEFIN) (Center for Studies in Banking and Finance) 08013, Universita di Modena e Reggio Emilia, Dipartimento di Economia "Marco Biagi".
    17. Evertsz, Carl J.G. & Mandelbrot, Benoit B., 1992. "Self-similarity of harmonic measure on DLA," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 185(1), pages 77-86.
    18. Duarte, J.A.M.S., 1990. "Bootstrap automata: The dynamics of destruction," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 168(3), pages 908-918.
    19. Aharony, Amnon, 1990. "Multifractals in physics: Successes, dangers and challenges," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 168(1), pages 479-489.
    20. Aigbe Akhigbe & Anna D. Martin & Ann Marie Whyte, 2016. "Dodd–Frank and risk in the financial services industry," Review of Quantitative Finance and Accounting, Springer, vol. 47(2), pages 395-415, August.

    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:245:y:1997:i:3:p:494-502. 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.