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β-Shifts have unique maximal measure

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Abstract

It is proved that β-shifts have unique measure with maximal entropy by constructing an isomorphism of the β-shift with another topological dynamical system and proving it for this system.

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References

  1. Hofbauer, F.: Shifträume und Gleichgewichtszustände. Dissertation. Wien 1976.

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  4. Takahashi, Y.: Isomorphism of β-automorphism to Markov automorphisms. Osaka J.10, 175–184 (1973).

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Authors and Affiliations

  1. Mathematisches Institut der Universität, Strudlhofgasse 4

    Franz Hofbauer

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  1. Franz Hofbauer
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Hofbauer, F. β-Shifts have unique maximal measure. Monatshefte für Mathematik 85, 189–198 (1978). https://doi.org/10.1007/BF01534862

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  • DOI: https://doi.org/10.1007/BF01534862

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