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Classification of ergodic finitary shifts. (English) Zbl 0565.60059
From the authors’ introduction: {\it R. L. Adler}, {\it P. Shields} and the reviewer [Ann. Math. Stat. 43, 1027-1029 (1972; Zbl 0244.60053)] have shown that every irreducible finite state Markov shift is isomorphic to a direct product of a rotation and a Bernoulli shift. In this paper this result is extend to a wider class of shifts, the so called finitary shifts. These shifts are induced by finitary processes defined by {\it A. Heller} [ibid. 36, 1286-1291 (1965; Zbl 0139.346)]. He proved that these processes include Markov chains and also functionals of Markov chains and gave an example of a process which is finitary and is not a functional of a Markov chain.
Reviewer: M.Smorodinsky

##### MSC:
 60J10 Markov chains (discrete-time Markov processes on discrete state spaces) 28D05 Measure-preserving transformations
Full Text:
##### References:
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