IDEAS home Printed from https://ideas.repec.org/a/eee/spapps/v11y1981i2p109-150.html
   My bibliography  Save this article

An introduction to infinite particle systems

Author

Listed:
  • Durrett, Richard

Abstract

In 1970, Spitzer wrote a paper called "Interaction of Markov processes" in which he introduced several classes of interacting particle systems. These processes and other related models, collectively referred to as infinite particle systems, have been the object of much research in the last ten years. In this paper we will survey some of the results which have been obtained and some of the open problems, concentrating on six overlapping classes of processes: the voter model, additive processes, the exponential family, one dimensional systems, attractive systems, and the Ising model.

Suggested Citation

  • Durrett, Richard, 1981. "An introduction to infinite particle systems," Stochastic Processes and their Applications, Elsevier, vol. 11(2), pages 109-150, May.
    • Handle: RePEc:eee:spapps:v:11:y:1981:i:2:p:109-150
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/0304-4149(81)90001-6
    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.

    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:11:y:1981:i:2:p:109-150. 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.