Upper metric mean dimensions with potential on subsets

被引：11
|
作者：
Cheng, Dandan [1 ]
Li, Zhiming [1 ]
Selmi, Bilel [2 ]
机构：
[1] Northwest Univ, Sch Math, Xian 710127, Peoples R China
[2] Univ Monastir, Fac Sci Monastir, Dept Math, Anal Probabil & Fractals Lab LR18ES17, Monastir 5019, Tunisia
来源：
NONLINEARITY | 2021年 / 34卷 / 02期
关键词：
weighted upper mean dimension; variational principle; inverse variational principle;
D O I：
10.1088/1361-6544/abcd08
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we introduce the notion of upper metric mean dimension with potential on any subset (not necessarily compact or invariant) via Caratheodory-Pesin structures. We discuss several possible versions of upper measure-theoretic mean dimensions with potential and find conditions to make these notions coincide. In particular, we present a corresponding variational principle and an inverse variational principle.
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页码：852 / 867
页数：16
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