A mixing Markov chain with exponentially decaying return times is finitarily Bernoulli-Reference-Cited by-同舟云学术

A mixing Markov chain with exponentially decaying return times is finitarily Bernoulli

Published:1982-03 Issue:1 Volume:2 Page:85-97
ISSN:0143-3857
Container-title:Ergodic Theory and Dynamical Systems
language:en
Short-container-title:Ergod. Th. Dynam. Sys.

Author:

Rudolph Daniel J.

Abstract

AbstractWe here show that the necessary condition of exponentially decaying first return times to a cylinder set is also sufficient for a countable state Markov chain to be almost continuously isomorphic to a Bernoulli shift.

Publisher

Cambridge University Press (CUP)

Subject

Applied Mathematics,General Mathematics

Reference7 articles.

1. Denumerable Markov Chains

2. Finitary isomorphisms of irreducible Markov shifts;Smorodinsky;Israel J. Math.,1979

3. Quelques proprietes des systemes dynamiques qui se decomposent en un produit de deux systemes dont l’un est un schema de Bernoulli

4. [2] Petit B. , Deux Schémas de Bernoulli d'alphabet dénombrable et de même entropie sont finitairement isomorphe. Preprint.

5. [3] Rudolph D. . A characterization of those processes finitarily isomorphic to a Bernoulli shift. Proceedings of the Special year in Ergodic Theory and Dynamic Systems. University of Maryland, 1980.

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