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 Electronic Journal of Probability > Vol. 6 (2001) > Paper 25 open journal systems 


Superprocesses with Dependent Spatial Motion and General Branching Densities

Donald A. Dawson, Carleton University
Zenghu Li, Beijing Normal University
Hao Wang, University of Oregon


Abstract
We construct a class of superprocesses 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 arbitrary 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 special case that a suitable rescaled process of the superprocess converges to the usual super Brownian motion. An extension to measure-valued branching catalysts is also discussed.


Full text: PDF

Pages: 1-33

Published on: May 25, 2001
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Electronic Journal of Probability. ISSN: 1083-6489