[go: up one dir, main page]
IDEAS home Printed from https://ideas.repec.org/p/pqs/wpaper/0032005.html
   My bibliography  Save this paper

Superprocesses with Dependent Spatial Motion and General Branching Densities

Author

Listed:
  • Donald A. Dawson

    (School of Mathematics and Statistics, Carleton University)

  • Zenghu Li

    (Department of Mathematics, Beijing Normal University)

  • Hao Wang

    (Department of Mathematics, University of Oregon)

Abstract
We constructs a class of seperprocesses by taking the high density limit of a sequence of interacting-branching particle systems. The spatial motion of the superprocess is determined by a system of interacting diffusions, the branching density is given by an arbitary bounded non-negative Borel function, and the superprocess is characterized by a martingale problem as a diffusion process with state space "M (R)", improving and extending considerably the construction of Wang (1997, 1998). It is then proved in a spatial case that a suitable rescaled process of the superprocess converges to the usual super Brownian motion. An extention to measure-valued branching catalysts is also discussed.

Suggested Citation

  • 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.
    • Handle: RePEc:pqs:wpaper:0032005
    as

    Download full text from publisher

    File URL: http://www.repad.org/ca/on/lrsp/TRS346.pdf
    File Function: First version, 2001
    Download Restriction: no
    ---><---

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. 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.
    2. 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.
    3. 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.
    4. He, Hui, 2009. "Discontinuous superprocesses with dependent spatial motion," Stochastic Processes and their Applications, Elsevier, vol. 119(1), pages 130-166, January.
    5. 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.
    6. Temple, Kathryn E., 2010. "Particle representations of superprocesses with dependent motions," Stochastic Processes and their Applications, Elsevier, vol. 120(11), pages 2174-2189, November.

    More about this item

    Keywords

    superprocesses; interacting-branching particle system; diffusion process; martingale problem; dual process; rescaled limit; measure-valued catalyst;
    All these keywords.

    JEL classification:

    • C10 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - General
    • C40 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - General

    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:pqs:wpaper:0032005. 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: Christian Calmes (email available below). General contact details of provider: https://edirc.repec.org/data/dsuqoca.html .

    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.