Slow Entropy for Noncompact Sets and Variational Principle

被引：10

作者：

Kong, Depeng ^{[1
,2
]}

Chen, Ercai ^{[1
,2
,3
]}

机构：

[1] Nanjing Normal Univ, Sch Math Sci, Nanjing 210023, Jiangsu, Peoples R China

[2] Nanjing Normal Univ, Inst Math, Nanjing 210023, Jiangsu, Peoples R China

[3] Nanjing Univ, Ctr Nonlinear Sci, Nanjing 210093, Jiangsu, Peoples R China

来源：

JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS | 2014年 / 26卷 / 03期

基金：

中国国家自然科学基金;

关键词：

Topological entropy; Topological slow entropy; Measure-theoretic slow entropy; Variational principle; TOPOLOGICAL ENTROPY;

D O I：

10.1007/s10884-014-9397-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper defines and discusses the dimension notion of topological slow entropy of any subset for actions. Also, the notion of measure-theoretic slow entropy for actions is presented, which is modified from Brin and Katok (Geometric Dynamics, Springer, Berlin 1983). Relations between Bowen topological entropy Bowen (Trans Am Math, 184:125-136, 1973), 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.

引用

页码：477 / 492

页数：16

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