English

Tail variational principle and asymptotic $h$-expansiveness for amenable group actions

Dynamical Systems 2022-03-08 v1

Abstract

In this paper we prove the tail variational principle for actions of countable amenable groups. This allows us to extend some characterizations of asymptotic hh-expansiveness from Z\mathbb{Z}-actions to actions of countable amenable groups.

Keywords

Cite

@article{arxiv.2203.02897,
  title  = {Tail variational principle and asymptotic $h$-expansiveness for amenable group actions},
  author = {Tomasz Downarowicz and Guohua Zhang},
  journal= {arXiv preprint arXiv:2203.02897},
  year   = {2022}
}

Comments

to appear in "Israel Journal of Mathematics" (a special volume in honor of Professor Benjamin Weiss)