Topological r-entropy and Measure Theoretic r-entropy of Flows

被引：0
|
作者：
Yong JI [1 ]
Yun Ping WANG [2 ,3 ]
机构：
[1] Department of Mathematics, Ningbo University
[2] School of Science, Ningbo University of Technology
[3] School of Mathematical Sciences and Institute of Mathematics, Nanjing Normal University
来源：
Acta Mathematica Sinica,English Series | 2022年 / 04期
关键词：
D O I：
暂无
中图分类号：
O174.12 [测度论]; O177.99 [其他];
学科分类号：
摘要：
The topological r-entropy and measure theoretic r-entropy of a flow are studied. For a flow(X, φ), it is shown that topological(measure theoretic) r-entropy is equal to the topological(measure theoretic) entropy of the time one map φ1 as r decreases to zero. The Brin–Katok’s entropy formula for r-entropy is also established.
引用
收藏
页码：761 / 769
页数：9
相关论文
共 50 条
  • [1] Topological r-entropy and Measure Theoretic r-entropy of Flows
    Ji, Yong
    Wang, Yun Ping
    ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2022, 38 (04) : 761 - 769
  • [2] Topological r-entropy and Measure Theoretic r-entropy of Flows
    Yong Ji
    Yun Ping Wang
    Acta Mathematica Sinica, English Series, 2022, 38 : 761 - 769
  • [3] Topological r-entropy and measure-theoretic r-entropy of a continuous map
    REN YunLi1
    2College of Mathematics and Information Technology
    Science China(Mathematics), 2011, 54 (06) : 1197 - 1205
  • [4] Topological r-entropy and measure-theoretic r-entropy of a continuous map
    Ren YunLi
    He LianFa
    LUE JinFeng
    Zheng GuoPing
    SCIENCE CHINA-MATHEMATICS, 2011, 54 (06) : 1197 - 1205
  • [5] Topological r-entropy and measure-theoretic r-entropy of a continuous map
    YunLi Ren
    LianFa He
    JinFeng Lü
    GuoPing Zheng
    Science China Mathematics, 2011, 54 : 1197 - 1205
  • [6] Topological r-Entropy and Measure Theoretic r-Entropy for Amenable Group Actions
    Yong Ji
    Cao Zhao
    Journal of Dynamical and Control Systems, 2022, 28 : 817 - 827
  • [7] Topological r-Entropy and Measure Theoretic r-Entropy for Amenable Group Actions
    Ji, Yong
    Zhao, Cao
    JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS, 2022, 28 (04) : 817 - 827
  • [8] Brin-Katok formula for the measure theoretic r-entropy
    Zhou, Xiaoyao
    Zhou, Longnian
    Chen, Ercai
    COMPTES RENDUS MATHEMATIQUE, 2014, 352 (06) : 473 - 477
  • [9] Topological R-entropy and topological entropy of free semigroup actions
    Zhu, Li
    Ma, Dongkui
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2019, 470 (02) : 1056 - 1069
  • [10] R-ENTROPY, EQUIPARTITION, AND ORNSTEIN ISOMORPHISM THEOREM IN RN
    FELDMAN, J
    ISRAEL JOURNAL OF MATHEMATICS, 1980, 36 (3-4) : 321 - 345
12345