Slow entropy for noncompact sets and variational principle
Dynamical Systems
2011-11-28 v1
Abstract
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.
Cite
@article{arxiv.1111.5665,
title = {Slow entropy for noncompact sets and variational principle},
author = {De-Peng Kong and Er-Cai Chen},
journal= {arXiv preprint arXiv:1111.5665},
year = {2011}
}
Comments
16 pages