A mixing Markov chain with exponentially decaying return times is finitarily Bernoulli
- 1 March 1982
- journal article
- research article
- Published by Cambridge University Press (CUP) in Ergodic Theory and Dynamical Systems
- Vol. 2 (1) , 85-97
- https://doi.org/10.1017/s0143385700009597
Abstract
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.Keywords
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