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A proof of the persistence criterion for a class of superprocesses

Part of: Markov processes Stochastic processes

Published online by Cambridge University Press:  14 July 2016

Yong-Jin Wang
Yong-Jin Wang*
Affiliation:
Nankai University
*
∗Postal address: Department of Mathematics, Nankai University, Tianjin, 300071, China.
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Abstract

Gorostiza and Wakolbinger (1991), and Dawson and Perkins (1991) established the same persistence criterion for a class of critical branching particle systems and for a class of superprocesses respectively. In this note we take another approach to the criterion and present a simpler proof of it.

Keywords

SUPERPROCESSPERSISTENCESYMMETRIC STABLE PROCESSES

MSC classification

Primary: 60J80: Branching processes (Galton-Watson, birth-and-death, etc.) 60G57: Random measures
Type
Short Communications
Information
Journal of Applied Probability , Volume 34 , Issue 2 , June 1997 , pp. 559 - 563
Copyright
Copyright © Applied Probability Trust 1997 

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References

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