IDEAS home Printed from https://ideas.repec.org/a/eee/spapps/v50y1994i1p21-35.html
   My bibliography  Save this article

Some absolute continuities of superdiffusions and super-stable processes

Author

Listed:
  • Xue-Lei, Zhao

Abstract

A superprocess is uniquely determined by a right Markov process and a branching characteristic. As a random measure, a typical question for a superprocess is about its absolute continuity and this kind of questions has been studied by many authors. In this paper, we investigate the absolute continuity on the surface of a smooth domain of d for a class of super-diffusions. We prove that when d = 2 the absolute continuity always holds, and when d [greater-or-equal, slanted] 3 the continuity depends on the branching characteristics and we present a sufficient condition. Moreover, we also consider the absolute continuity of super-diffusions and super-stable processes restricted on non-branching sets. On comparison with previous authors, we further demonstrate the influence of branching characteristics on the local structure of superprocesses from a different angle.

Suggested Citation

  • Xue-Lei, Zhao, 1994. "Some absolute continuities of superdiffusions and super-stable processes," Stochastic Processes and their Applications, Elsevier, vol. 50(1), pages 21-35, March.
    • Handle: RePEc:eee:spapps:v:50:y:1994:i:1:p:21-35
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/0304-4149(94)90145-7
    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.

    More about this item

    Statistics

    Access and download statistics

    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:50:y:1994:i:1:p:21-35. 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.