IDEAS home Printed from https://ideas.repec.org/a/eee/spapps/v90y2000i1p43-66.html
   My bibliography  Save this article

An infinite system of Brownian balls with infinite range interaction

Author

Listed:
  • Fradon, Myriam
  • Roelly, Sylvie
  • Tanemura, Hideki

Abstract

We study an infinite system of Brownian hard balls, moving in and submitted to a smooth infinite range pair potential. It is represented by a diffusion process, which is constructed as the unique strong solution of an infinite-dimensional Skorohod equation. We also prove that canonical Gibbs states associated to the sum of the hard core potential and the pair potential are reversible measures for the dynamics.

Suggested Citation

  • Fradon, Myriam & Roelly, Sylvie & Tanemura, Hideki, 2000. "An infinite system of Brownian balls with infinite range interaction," Stochastic Processes and their Applications, Elsevier, vol. 90(1), pages 43-66, November.
    • Handle: RePEc:eee:spapps:v:90:y:2000:i:1:p:43-66
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0304-4149(00)00036-3
    Download Restriction: Full text for ScienceDirect subscribers only
    ---><---

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

    Citations

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


    Cited by:

    1. Honda, Ryuichi & Osada, Hirofumi, 2015. "Infinite-dimensional stochastic differential equations related to Bessel random point fields," Stochastic Processes and their Applications, Elsevier, vol. 125(10), pages 3801-3822.

    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:spapps:v:90:y:2000:i:1:p:43-66. 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.elsevier.com/wps/find/journaldescription.cws_home/505572/description#description .

    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.