%0 Journal Article
%T Slow entropy for noncompact sets and variational principle
%A De-Peng Kong
%A Er-Cai Chen
%J Mathematics
%D 2011
%I arXiv
%X This paper defines and discusses the dimension notion of topological slow entropy of any subset for Z^d actions. Also, the notion of measure-theoretic slow entropy for Z^d actions is presented, which is modified from Brin and Katok [2]. Relations between Bowen topological entropy [3,17] and topological slow entropy are studied in this paper, and several examples of the topological slow entropy in a symbolic system are given. Specifically, a variational principle is proved.
%U http://arxiv.org/abs/1111.5665v1