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
收藏
页码：477 / 492
页数：16
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