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

Published online by Cambridge University Press:  20 November 2018

Steven N. Evans  and
Neil O'Connell
Steven N. Evans
Affiliation:
Department of Statistics, University of California Berkeley, California 94720 U.S.A.
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Abstract

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We 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.

Keywords

60G5760J8060J25measure valued branchingbranching particle systemDawson-Watanabe superprocessoccupation timeFeynman-Kac formulaimmigration
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 37 , Issue 2 , 01 June 1994 , pp. 187 - 196
Copyright
Copyright © Canadian Mathematical Society 1994

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