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

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 $h$-expansiveness from $\mathbb{Z}$-actions to actions of countable amenable groups.

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