Weighted upper metric mean dimension for amenable group actions

被引：5
|
作者：
Tang, Dingxuan [1 ]
Wu, Haiyan [1 ]
Li, Zhiming [1 ]
机构：
[1] Northwest Univ, Sch Math, Xian, Shaanxi, Peoples R China
来源：
DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL | 2020年 / 35卷 / 03期
基金：
以色列科学基金会; 中国国家自然科学基金;
关键词：
Weighted upper mean dimension; variational principle; amenable group; pseudo-orbits; TOPOLOGICAL DIMENSION;
D O I：
10.1080/14689367.2019.1709047
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we formulate the notions of weighted upper metric mean dimensions and weighted upper measure-theoretic mean dimensions for amenable group actions. In particular, a variational principle for amenable group actions is presented. We also define weighted upper metric mean dimensions with respect to pseudo-orbits and establish their relation to weighted upper metric mean dimensions.
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页码：382 / 397
页数：16
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