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arXiv · 2009.00925

Some properties of circle maps with zero topological entropy

Yini Yang
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Abstract

For a circle map $f\colon\mathbb{S}\to\mathbb{S}$ with zero topological entropy, we show that a non-diagonal pair $\langle x,y\rangle\in \mathbb{S}\times \mathbb{S}$ is non-separable if and only if it is an IN-pair if and only if it is an IT-pair. We also show that if a circle map is topological null then the maximal pattern entropy of every open cover is of polynomial order.

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Yini Yang. 2020-09-02. Some properties of circle maps with zero topological entropy. https://doi.org/10.1088/1361-6544%2Fabd7c4

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