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Superprocesses with Dependent Spatial Motion and General Branching Densities

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Author Info
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.

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File URL: http://www.repad.org/ca/on/lrsp/TRS346.pdf
File Format: application/pdf
File Function: First version, 2001
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Publisher Info
Paper provided by Département des sciences administratives, UQO in its series RePAd Working Paper Series with number lrsp-TRS346.

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Length: 33 pages
Date of creation: 01 Jan 2001
Date of revision:
Handle: RePEc:pqs:wpaper:0032005

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Related research
Keywords: superprocesses interacting-branching particle system diffusion process martingale problem dual process rescaled limit measure-valued catalyst

Find related papers by JEL classification:
C10 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: General - - - General
C40 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - General

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This page was last updated on 2008-11-17.

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