Two Notes on Measure-Theoretic Entropy of Random Dynamical Systems 被引量：1

Two Notes on Measure-Theoretic Entropy of Random Dynamical Systems

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摘要 In this paper, Brin-Katok local entropy formula and Katok＇s definition of the measuretheoretic entropy using spanning set are established for the random dynamical system over an invertible ergodic system. In this paper, Brin-Katok local entropy formula and Katok＇s definition of the measuretheoretic entropy using spanning set are established for the random dynamical system over an invertible ergodic system.

作者 Yu Jun ZHU

机构地区 College of Mathematics and Information Science

出处《Acta Mathematica Sinica,English Series》 SCIE CSCD 2009年第6期961-970,共10页 数学学报（英文版）

基金 the National Natural Science Foundation of China(No.10701032) Natural Science Foundation of Hebei Province(No.A2008000132)

关键词 random dynamical system measure-theoretic entropy local entropy random dynamical system, measure-theoretic entropy, local entropy

分类号 O211.63 [理学—概率论与数理统计] O159 [理学—基础数学]

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参考文献1

1LianFaHE,JinFengLV,LiNaZHOU.Definition of Measure-theoretic Pressure Using Spanning Sets[J].Acta Mathematica Sinica,English Series,2004,20(4):709-718. 被引量：7

二级参考文献6

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1张金莲,郑宏文.熵可扩映射的压[J].河北师范大学学报（自然科学版）,2005,29(2):109-112. 被引量：1
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5Jing Lan PENG,Yun Hua ZHOU.Sub-additive Topological and Measure-theoretic Tail Pressures[J].Acta Mathematica Sinica,English Series,2017,33(12):1617-1631.
6Wenda ZHANG,Zhiqiang LI.SUP-ADDITIVE METRIC PRESSURE OF DIFFEOMORPHISMS[J].Acta Mathematica Scientia,2022,42(2):575-587.

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1任蕴丽,卢占会,樊丽丽,吕金凤,何尚琴.连续自映射的拓扑r-熵及其性质[J].华北电力大学学报（自然科学版）,2009,36(4):110-112. 被引量：2
2REN YunLi,HE LianFai,LV JinFeng,ZHENG GuoPing.Topological r-entropy and measure-theoretic r-entropy of a continuous map[J].Science China Mathematics,2011,54(6):1197-1205. 被引量：5

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Acta Mathematica Sinica,English Series

2009年第6期

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