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On the distribution of periodic points for β-shifts

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Abstract

It is shown that for β-shifts the periodic points are uniformly distributed with respect to the unique measure of maximal entropy, and that the invariant measures with support on a single periodic orbit are dense in the space of all invariant measures.

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  1. Wien

    Karl Sigmund

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  1. Karl Sigmund
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Dedicated to Prof. Dr. E. Hlawka on the occasion of his 60th birthday

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Sigmund, K. On the distribution of periodic points for β-shifts. Monatshefte für Mathematik 82, 247–252 (1976). https://doi.org/10.1007/BF01526329

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  • DOI: https://doi.org/10.1007/BF01526329

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