Two notes on measure-theoretic entropy of random dynamical systems

被引：0
|
作者：
Yu Jun Zhu
机构：
[1] Hebei Normal University,College of Mathematics and Information Science
来源：
Acta Mathematica Sinica, English Series | 2009年 / 25卷
关键词：
random dynamical system; measure-theoretic entropy; local entropy; 37A35; 37H99;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, Brin-Katok local entropy formula and Katok’s definition of the measure-theoretic entropy using spanning set are established for the random dynamical system over an invertible ergodic system.
引用
收藏
页码：961 / 970
页数：9
相关论文
共 50 条
  • [31] On measure-theoretic aspects of nonextensive entropy functionals and corresponding maximum entropy prescriptions
    Dukkipati, Ambedkar
    Bhatnagar, Shalabh
    Murty, M. Narasimha
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2007, 384 (02) : 758 - 774
  • [32] On the measure-theoretic entropy and topological pressure of free semigroup actions
    Lin, Xiaogang
    Ma, Dongkui
    Wang, Yupan
    ERGODIC THEORY AND DYNAMICAL SYSTEMS, 2018, 38 : 686 - 716
  • [33] Some Remarks on Measure-theoretic Entropy for a Free Semigroup Action
    Hui, Huihui
    Ma, Dongkui
    TAIWANESE JOURNAL OF MATHEMATICS, 2017, 21 (02): : 429 - 440
  • [34] Measure-Theoretic Uniformly Positive Entropy on the Space of Probability Measures
    Vermersch, Romulo M.
    QUALITATIVE THEORY OF DYNAMICAL SYSTEMS, 2024, 23 (01)
  • [35] Measure-theoretic chaos
    Downarowicz, Tomasz
    Lacroix, Yves
    ERGODIC THEORY AND DYNAMICAL SYSTEMS, 2014, 34 : 110 - 131
  • [36] MEASURE-THEORETIC QUANTIFIERS AND HAAR MEASURE
    LYONS, R
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1982, 86 (01) : 67 - 71
  • [37] Measure-Theoretic Evolutionary Annealing
    Lockett, Alan J.
    Miikkulainen, Risto
    2011 IEEE CONGRESS ON EVOLUTIONARY COMPUTATION (CEC), 2011, : 2139 - 2146
  • [38] A measure-theoretic representation of graphs
    Raffaella Mulas
    Giulio Zucal
    Periodica Mathematica Hungarica, 2024, 88 : 8 - 24
  • [39] 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
  • [40] Flexibility of measure-theoretic entropy of boundary maps associated to Fuchsian groups
    Abrams, Adam
    Katok, Svetlana
    Ugarcovici, Ilie
    ERGODIC THEORY AND DYNAMICAL SYSTEMS, 2022, 42 (02) : 389 - 401
12345