IDEAS home Printed from https://ideas.repec.org/a/eee/spapps/v115y2005i11p1782-1804.html
   My bibliography  Save this article

Super-Brownian motion conditioned on the total mass

Author

Listed:
  • Serlet, Laurent

Abstract

We study the super-Brownian motion (Xt) conditioned on the total mass as the continuous limit of a system of branching trajectories which genealogical structure is a Galton-Watson tree conditioned on the number of its vertices. We characterize this process by a martingale problem and give a "snake" representation. Then we apply these results to a process that we call super-Brownian excursion. Its integral is the so-called Integrated Super-Brownian Excursion that has appeared recently as limit of several systems of statistical mechanics.

Suggested Citation

  • Serlet, Laurent, 2005. "Super-Brownian motion conditioned on the total mass," Stochastic Processes and their Applications, Elsevier, vol. 115(11), pages 1782-1804, November.
    • Handle: RePEc:eee:spapps:v:115:y:2005:i:11:p:1782-1804
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0304-4149(05)00078-5
    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. Serlet, Laurent, 2009. "New large deviation results for some super-Brownian processes," Stochastic Processes and their Applications, Elsevier, vol. 119(5), pages 1696-1724, May.

    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:115:y:2005:i:11:p:1782-1804. 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.