IDEAS home Printed from https://ideas.repec.org/a/spr/jotpro/v14y2001i2d10.1023_a1011124000185.html
   My bibliography  Save this article

On Changes of Measure for Super Brownian Motion

Author

Listed:
  • Robert J. Adler

    (Technion)

  • Srikanth K. Iyer

    (Indian Institute of Technology)

Abstract

Let η be a superprocess under the measure P. We show the existence of probability measures which are absolutely continuous with respect to P, and whose Randon–Nikodym derivatives are suitably normalized functions of the self intersection local time of η. These measures correspond to measure valued processes exhibiting a certain amount of (reinforcing) self interaction in terms of both the particle motion and the branching mechanism.

Suggested Citation

  • Robert J. Adler & Srikanth K. Iyer, 2001. "On Changes of Measure for Super Brownian Motion," Journal of Theoretical Probability, Springer, vol. 14(2), pages 527-557, April.
    • Handle: RePEc:spr:jotpro:v:14:y:2001:i:2:d:10.1023_a:1011124000185
    DOI: 10.1023/A:1011124000185
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1023/A:1011124000185
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1023/A:1011124000185?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.

    References listed on IDEAS

    as
    1. Adler, Robert J. & Iyer, Srikanth K., 1997. "Attractive polymer models for two- and three-dimensional Brownian motion," Stochastic Processes and their Applications, Elsevier, vol. 66(2), pages 271-281, March.
    2. Robert Adler & Roger Tribe, 1998. "Uniqueness for a Historical SDE with a Singular Interaction," Journal of Theoretical Probability, Springer, vol. 11(2), pages 515-533, April.
    3. Feldman, Raisa E. & Iyer, Srikanth K., 1996. "A representation for functionals of superprocesses via particle picture," Stochastic Processes and their Applications, Elsevier, vol. 64(2), pages 173-186, November.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.

      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:spr:jotpro:v:14:y:2001:i:2:d:10.1023_a:1011124000185. 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.

      If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

      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.