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Information flow in discrete Markov systems

Published online by Cambridge University Press:  14 July 2016

D. A. Dawson*
Affiliation:
Carleton University, Ottawa

Abstract

Infinite systems of interacting Markov chains are investigated. Some basic concepts of the ergodic theory of such systems are first presented. In particular, the question of the uniqueness and multiplicity of invariant probability measures is considered. In the case of one-dimensional systems, the question is studied in detail by investigating the flow of information throughout the system and some criteria for the uniqueness of invariant probability measures are obtained.

Type
Research Papers
Copyright
Copyright © Applied Probability Trust 1973 

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