Variational principles for Feldman-Katok metric mean dimension

2022/08/20 by Xie, Yunxiang, Chen, Ercai, Yang, Rui · 1 citation
#Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.2208.09645

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 ε-entropy and FK local ε-entropy function.

Cited by

• Mean dimension and rate-distortion function revisited

Related

• On variational principles of metric mean dimension on subset in Feldman-Katok metric
• On Variational Principles for Metric Mean Dimension
• On variational principles for metric mean dimension
• Some notes on variational principle for metric mean dimension
• Variational principles for metric mean dimension with potential of level sets