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.
引用
收藏
页码：382 / 397
页数：16
相关论文
共 50 条
  • [41] A variational principle of amenable random metric mean dimensions
    Tang, Dingxuan
    Li, Zhiming
    PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY, 2024,
  • [42] A MEAN ERGODIC THEOREM FOR ACTIONS OF AMENABLE QUANTUM GROUPS
    Duvenhage, Rocco
    BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2008, 78 (01) : 87 - 95
  • [43] Minimal amenable subshift with full mean topological dimension
    Yin, Zhengyu
    Xiao, Zubiao
    NONLINEARITY, 2024, 37 (11)
  • [44] Weighted mean topological dimension
    Wang, Yunping
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2021, 493 (01)
  • [45] Localized topological pressure for amenable group actions
    Yunping Wang
    Cao Zhao
    Analysis and Mathematical Physics, 2022, 12
  • [46] Localized topological pressure for amenable group actions
    Wang, Yunping
    Zhao, Cao
    ANALYSIS AND MATHEMATICAL PHYSICS, 2022, 12 (03)
  • [47] Scaled packing entropy for amenable group actions
    Hu Chen
    Zhiming Li
    Banach Journal of Mathematical Analysis, 2023, 17
  • [48] PERIODIC POINTS FOR AMENABLE GROUP ACTIONS ON DENDRITES
    Shi, Enhui
    Ye, Xiangdong
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2017, 145 (01) : 177 - 184
  • [49] Packing topological entropy for amenable group actions
    Dou, Dou
    Zheng, Dongmei
    Zhou, Xiaomin
    ERGODIC THEORY AND DYNAMICAL SYSTEMS, 2023, 43 (02) : 480 - 514
  • [50] PACKING TOPOLOGICAL PRESSURE FOR AMENABLE GROUP ACTIONS
    Ding, Ziqing
    Chen, Ercai
    Zhou, Xiaoyao
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 2025,
12345