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arXiv · 2208.09645

Variational principles for Feldman-Katok metric mean dimension

Yunxiang Xie·Ercai Chen·Rui Yang
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Abstract

We introduce the notion of Feldman-Katok metric mean dimensions in this note. We show metric mean dimensions defined by different metrics coincide under weak tame growth of covering numbers, and establish variational principles for Feldman-Katok metric mean dimensions in terms of FK Katok $\epsilon$-entropy and FK local $\epsilon$-entropy function.

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Yunxiang Xie, Ercai Chen, Rui Yang. 2022-08-20. Variational principles for Feldman-Katok metric mean dimension. https://arxiv.org/abs/2208.09645

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