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arXiv · 2101.02610

On variational principles for metric mean dimension

Ruxi Shi
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Abstract

In this note, we show several variational principles for metric mean dimension. First we prove a variational principles in terms of Shapira's entropy related to finite open covers. Second we establish a variational principle in terms of Katok's entropy. Finally using these two variational principles we develop a variational principle in terms of Brin-Katok local entropy.

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Ruxi Shi. 2021-01-07. On variational principles for metric mean dimension. https://arxiv.org/abs/2101.02610

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