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arXiv · 1912.03813

Topological entropy of the set of generic points for $(\alpha-\beta)$-shifts

Kenichiro Yamamoto
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Abstract

We prove that all ($\alpha$-$\beta$)-shifts with $0\le \alpha<1$ and $\beta>2$ are saturated, that is, for any invariant measure, the topological entropy of the set of generic points coincides with the metric entropy.

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Kenichiro Yamamoto. 2019-12-09. Topological entropy of the set of generic points for $(\alpha-\beta)$-shifts. https://arxiv.org/abs/1912.03813

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