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Strong ergodicity for single-birth processes

Part of: Markov processes

Published online by Cambridge University Press:  14 July 2016

Yu-Hui Zhang
Yu-Hui Zhang*
Affiliation:
Beijing Normal University
*
∗ Postal address: Department of Mathematics, Beijing Normal University, Beijing 100875, The People's Republic of China. Email address: zhoumk@bnu.edu.cn
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Abstract

An explicit and computable criterion for strong ergodicity of single-birth processes is presented. As an application, some sufficient conditions are obtained for strong ergodicity of an extended class of continuous-time branching processes and multi-dimensional Q-processes by comparison methods respectively. Consequently strong ergodicity of the Q-process corresponding to the finite-dimensional Schlögl model is proven.

Keywords

strongly ergodicsingle-birth Q-processSchlögl model

MSC classification

Primary: 60J25: Continuous-time Markov processes on general state spaces
Type
Short Communications
Information
Journal of Applied Probability , Volume 38 , Issue 1 , March 2001 , pp. 270 - 277
Copyright
Copyright © by the Applied Probability Trust 2001 

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Footnotes

Research supported in part by NSFC (No. 19771008), RFDP (No. 1999002706), MCEC and Ying-Tung Fok Educational Foundation.

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