Journal of Applied Probability

Strong ergodicity for single-birth processes

Yu-Hui Zhang
Source: J. Appl. Probab. Volume 38, Number 1 (2001), 270-277.

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.

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Primary Subjects: 60J25
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Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.jap/996986662
Digital Object Identifier: doi:10.1239/jap/996986662
Mathematical Reviews number (MathSciNet): MR1816773
Zentralblatt MATH identifier: 0984.60083


2012 © Applied Probability Trust

Journal of Applied Probability

Journal of Applied Probability