Variational principles for amenable metric mean dimensions

2017/08/07 by Ercai Chen, Chen, Ercai, Dou Dou +3 · 1 citation
Mathematics · Biochemistry, Genetics and Molecular Biology · #Advanced Topology and Set Theory #Bone Metabolism and Diseases

paper · pdf · doi:10.48550/arxiv.1708.02087

Abstract

In this paper, we prove variational principles between metric mean dimension and rate distortion function for countable discrete amenable group actions which extend recently results by Lindenstrauss and Tsukamoto.

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• Metric mean dimension and the variational principle for actions of amenable groups

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