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

Published online by Cambridge University Press:  13 August 2009

Daniel J. Rudolph
Daniel J. Rudolph
Affiliation:
Department of Mathematics, University of Maryland, College Park, Maryland 20742
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Abstract

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We 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.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 2 , Issue 1 , March 1982 , pp. 85 - 97
Copyright
Copyright © Cambridge University Press 1982

References

REFERENCES

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