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arXiv · 1908.01149

Unique ergodicity for zero-entropy dynamical systems with the approximate product property

Peng Sun
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Abstract

We show that for every topological dynamical system with the approximate product property, zero topological entropy is equivalent to unique ergodicity. Equivalence of minimality is also proved under a slightly stronger condition. Moreover, we show that unique ergodicity implies the approximate product property if the system has periodic points.

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Peng Sun. 2019-08-03. Unique ergodicity for zero-entropy dynamical systems with the approximate product property. https://arxiv.org/abs/1908.01149

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