English

Variational principles for amenable metric mean dimensions

Dynamical Systems 2020-08-11 v4

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.

Keywords

Cite

@article{arxiv.1708.02087,
  title  = {Variational principles for amenable metric mean dimensions},
  author = {Ercai Chen and Dou Dou and Dongmei Zheng},
  journal= {arXiv preprint arXiv:1708.02087},
  year   = {2020}
}

Comments

36 pages. Comments are welcome

R2 v1 2026-06-22T21:08:32.253Z