Connecting reversible Markov processes
- 1 March 1986
- journal article
- research article
- Published by Cambridge University Press (CUP) in Advances in Applied Probability
- Vol. 18 (04) , 880-900
- https://doi.org/10.1017/s0001867800016190
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.Keywords
This publication has 36 references indexed in Scilit:
- Filtering formulas and the ./M/1 queue in a quasireversible networkStochastics, 1981
- Interconnections of Markov chains and quasi-reversible queuing networksStochastic Processes and their Applications, 1980
- On the output theorem of queueing theory, via filteringJournal of Applied Probability, 1978
- Reversibility and the age of an allele. I. Moran's infinitely many neutral alleles modelTheoretical Population Biology, 1976
- On a conjecture of G. A. WattersonAdvances in Applied Probability, 1974
- Markov population processes as models of primate social and population dynamicsTheoretical Population Biology, 1972
- Wave propagation in the early stages of aggregation of cellular slime moldsJournal of Theoretical Biology, 1971
- A Properity of Poisson Processes and its Applications to Macroscopic Equilibrium of Particle SystemsThe Annals of Mathematical Statistics, 1970
- Interaction of Markov processesAdvances in Mathematics, 1970
- Denumerable Markov processes and the associated contraction semigroups on lActa Mathematica, 1957