Weighted Occupation Time for Branching Particle Systems and a Representation for the Supercritical Superprocess-Reference-Cited by-同舟云学术

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Weighted Occupation Time for Branching Particle Systems and a Representation for the Supercritical Superprocess

Published:1994-06-01 Issue:2 Volume:37 Page:187-196
ISSN:0008-4395
Container-title:Canadian Mathematical Bulletin
language:en
Short-container-title:Can. math. bull.

Author:

Evans Steven N.,O'Connell Neil

Abstract

AbstractWe obtain a representation for the supercritical Dawson-Watanabe superprocessin terms of a subcritical superprocess with immigration, where the immigration at a given time is governed by the state of an underlying branching particle system. The proof requires a new result on the laws of weighted occupation times for branching particle systems.

Publisher

Canadian Mathematical Society

Subject

General Mathematics

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