IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v300y2001i1p245-270.html
   My bibliography  Save this article

Parallel dynamics and computational complexity of the Bak–Sneppen model

Author

Listed:
  • Machta, J.
  • Li, X.-N.

Abstract

The parallel computational complexity of the Bak–Sneppen evolution model is studied. It is shown that Bak–Sneppen histories can be generated by a massively parallel computer in a time that is polylogarithmic in the length of the history. In this parallel dynamics, histories are built up via a nested hierarchy of avalanches. Stated in another way, the main result is that the logical depth of producing a Bak–Sneppen history is exponentially less than the length of the history. This finding is surprising because the self-organized critical state of the Bak–Sneppen model has long range correlations in time and space that appear to imply that the dynamics is sequential and history dependent. The parallel dynamics for generating Bak–Sneppen histories is contrasted to standard Bak–Sneppen dynamics. Standard dynamics and an alternate method for generating histories, conditional dynamics, are both shown to be related to P-complete natural decision problems implying that they cannot be efficiently implemented in parallel.

Suggested Citation

  • Machta, J. & Li, X.-N., 2001. "Parallel dynamics and computational complexity of the Bak–Sneppen model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 300(1), pages 245-270.
    • Handle: RePEc:eee:phsmap:v:300:y:2001:i:1:p:245-270
    DOI: 10.1016/S0378-4371(01)00336-3
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437101003363
    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(01)00336-3?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.

    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:300:y:2001:i:1:p:245-270. 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: 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.