Connecting reversible Markov processes-Reference-Cited by-同舟云学术

Connecting reversible Markov processes

Published:1986-12 Issue:04 Volume:18 Page:880-900
ISSN:0001-8678
Container-title:Advances in Applied Probability
language:en
Short-container-title:Adv. Appl. Probab.

Author:

Pollett P. K.

Abstract

We provide a framework for interconnecting a collection of reversible Markov processes in such a way that the resulting process has a product-form invariant measure with respect to which the process is reversible. A number of examples are discussed including Kingman&s reversible migration process, interconnected random walks and stratified clustering processes.

Publisher

Cambridge University Press (CUP)

Subject

Applied Mathematics,Statistics and Probability

Reference50 articles.

1. Reversibility and the age of an allele. I. Moran's infinitely many neutral alleles model

2. Interconnections of Markov chains and quasi-reversible queuing networks

3. Wave propagation in the early stages of aggregation of cellular slime molds

4. Markov population processes as models of primate social and population dynamics

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