Information flow in discrete Markov systems
- 1 March 1973
- journal article
- Published by Cambridge University Press (CUP) in Journal of Applied Probability
- Vol. 10 (1) , 63-83
- https://doi.org/10.2307/3212496
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.Keywords
This publication has 5 references indexed in Scilit:
- Markov Random Fields and Gibbs EnsemblesThe American Mathematical Monthly, 1971
- Interaction of Markov processesAdvances in Mathematics, 1970
- Invariant random boolean fieldsMathematical Notes, 1969
- Monte Carlo MethodsPublished by Springer Nature ,1964
- Time-Dependent Statistics of the Ising ModelJournal of Mathematical Physics, 1963