Weighted upper metric mean dimension for amenable group actions

被引：3
|
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] Scaled packing entropy for amenable group actions
    Hu Chen
    Zhiming Li
    Banach Journal of Mathematical Analysis, 2023, 17
  • [42] Localized topological pressure for amenable group actions
    Yunping Wang
    Cao Zhao
    Analysis and Mathematical Physics, 2022, 12
  • [43] PERIODIC POINTS FOR AMENABLE GROUP ACTIONS ON DENDRITES
    Shi, Enhui
    Ye, Xiangdong
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2017, 145 (01) : 177 - 184
  • [44] Packing topological entropy for amenable group actions
    Dou, Dou
    Zheng, Dongmei
    Zhou, Xiaomin
    ERGODIC THEORY AND DYNAMICAL SYSTEMS, 2023, 43 (02) : 480 - 514
  • [45] Fluctuations of ergodic averages for amenable group actions
    Gabor, Uri
    GROUPS GEOMETRY AND DYNAMICS, 2021, 15 (03) : 1041 - 1058
  • [46] Bernoulli Gibbs states for amenable group actions
    Hulse, Paul
    DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL, 2015, 30 (02): : 137 - 148
  • [47] Entropies for factor maps of amenable group actions
    Zhang, Guohua
    Zhu, Lili
    NONLINEARITY, 2023, 36 (05) : 2909 - 2922
  • [48] Residuality ofDynamical Morphisms for Amenable Group Actions
    Huczek, Dawid
    Kopacz, Sebastian
    Serafin, Jacek
    INDIANA UNIVERSITY MATHEMATICS JOURNAL, 2024, 73 (03) : 855 - 881
  • [49] Scaled packing entropy for amenable group actions
    Chen, Hu
    Li, Zhiming
    BANACH JOURNAL OF MATHEMATICAL ANALYSIS, 2023, 17 (03)
  • [50] Injectivity, crossed products, and amenable group actions
    Buss, Alcides
    Echterhoff, Siegfried
    Willett, Rufus
    K-THEORY IN ALGEBRA, ANALYSIS AND TOPOLOGY, 2020, 749 : 105 - 137
12345