On Variational Principles for Metric Mean Dimension

2022/03/08 by Ruxi Shi · 3 citations
Mathematics · Engineering · #Mathematical Dynamics and Fractals #Advanced Numerical Analysis Techniques #Geometric Analysis and Curvature Flows

paper · doi:10.1109/tit.2022.3157786

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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