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A Class of Multidimensional Q-Processes

Part of: Markov processes

Published online by Cambridge University Press:  14 July 2016

Bo Wu  and
Yu-Hui Zhang
Bo Wu*
Affiliation:
Beijing Normal University
Yu-Hui Zhang*
Affiliation:
Beijing Normal University
*
∗ Postal address: School of Mathematical Sciences, Beijing Normal University, Beijing, 100875, P. R. China.
∗ Postal address: School of Mathematical Sciences, Beijing Normal University, Beijing, 100875, P. R. China.
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Abstract

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In this paper we present some necessary conditions for the uniqueness, recurrence, and ergodicity of a class of multidimensional Q-processes, using the dual Yan-Chen comparison method. Then the coupling method is used to study the multidimensional processes in a specific space. As applications, three models of particle systems are illustrated.

Keywords

Multidimensional Q-processsingle-birth processupwardly skip-free process

MSC classification

Primary: 60J25: Continuous-time Markov processes on general state spaces 60J75: Jump processes
Secondary: 60J80: Branching processes (Galton-Watson, birth-and-death, etc.)
Type
Research Article
Information
Journal of Applied Probability , Volume 44 , Issue 1 , March 2007 , pp. 226 - 237
Copyright
Copyright © Applied Probability Trust 2007 

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