THE RELATION OF DIMENSION, ENTROPY AND LYAPUNOV EXPONENT IN RANDOM CASE

被引：0
|
作者：
Yun Zhao (Suzhou University
机构：
来源：
Analysis in Theory and Applications | 2008年 / 02期
关键词：
Hausdorff dimension; random dynamical systems;
D O I：
暂无
中图分类号：
O193 [微分动力系统];
学科分类号：
070104 ; 0711 ; 071101 ;
摘要：
We consider random systems generated by two-sided compositions of random surface diffeomorphisms, together with an ergodic Borel probability measure μ. Let D(μω) be its dimension of the sample measure, then we prove a formula relating D(μω) to the entropy and Lyapunov exponents of the random system, where D(μω) is dimHμω,dimBμω, or dimBμω.
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页码：129 / 138
页数：10
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