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Equivalence of topological Markov shifts

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Abstract

We show that any two topological Markov shifts both of whose topological entropy equals logn (for somen) are equivalent by a finitistic coding.

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Bibliography

  1. R. Adler and B. Weiss,Similarity of automorphisms of the torus, Mem. Amer. Math. Soc., No. 98 (1970).

  2. B. Weiss,The structure of Bernoulli systems, Proc. of Int. Congress of Math., Vancouver, Vol. 2, 1974, pp. 321–325.

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Adler, R.L., Goodwyn, L.W. & Weiss, B. Equivalence of topological Markov shifts. Israel J. Math. 27, 49–63 (1977). https://doi.org/10.1007/BF02761605

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  • DOI: https://doi.org/10.1007/BF02761605

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