IDEAS home Printed from https://ideas.repec.org/a/eee/spapps/v120y2010i11p2174-2189.html
   My bibliography  Save this article

Particle representations of superprocesses with dependent motions

Author

Listed:
  • Temple, Kathryn E.

Abstract

We establish Donnelly-Kurtz-type particle representations for a class of superprocesses with dependent spatial motions, and for a sequence of such superprocesses we prove convergence of the finite-dimensional distributions given convergence of the motion processes. As special cases, we construct a superprocess with coalescing spatial motion (SCSM) and a superprocess with dependent spatial motion (SDSM), where the underlying motion processes are one-dimensional coalescing and dependent Brownian motions, respectively. Under suitable conditions on the functions governing the interactions, we show convergence in distribution in of a sequence of SDSMs to an SCSM.

Suggested Citation

  • Temple, Kathryn E., 2010. "Particle representations of superprocesses with dependent motions," Stochastic Processes and their Applications, Elsevier, vol. 120(11), pages 2174-2189, November.
    • Handle: RePEc:eee:spapps:v:120:y:2010:i:11:p:2174-2189
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0304-4149(10)00158-4
    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.

    References listed on IDEAS

    as
    1. Donald A. Dawson & Zenghu Li & Hao Wang, 2001. "Superprocesses with Dependent Spatial Motion and General Branching Densities," RePAd Working Paper Series lrsp-TRS346, Département des sciences administratives, UQO.
    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.
    1. Li, Zenghu & Xiong, Jie & Zhang, Mei, 2010. "Ergodic theory for a superprocess over a stochastic flow," Stochastic Processes and their Applications, Elsevier, vol. 120(8), pages 1563-1588, August.
    2. Mei Zhang, 2011. "Central Limit Theorems for a Super-Diffusion over a Stochastic Flow," Journal of Theoretical Probability, Springer, vol. 24(1), pages 294-306, March.
    3. He, Hui, 2009. "Discontinuous superprocesses with dependent spatial motion," Stochastic Processes and their Applications, Elsevier, vol. 119(1), pages 130-166, January.
    4. Gill, Hardeep S., 2009. "Superprocesses with spatial interactions in a random medium," Stochastic Processes and their Applications, Elsevier, vol. 119(12), pages 3981-4003, December.
    5. D. A. Dawson & Z. Li & X. Zhou, 2004. "Superprocesses with Coalescing Brownian Spatial Motion as Large-Scale Limits," Journal of Theoretical Probability, Springer, vol. 17(3), pages 673-692, July.

    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:120:y:2010:i:11:p:2174-2189. 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: 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.