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

作　　者：Yun Zhao 

机构地区：[1]Department of Mathematics Suzhou University Suzhou 215006 P. R. China

出　　处：《Analysis in Theory and Applications》2008年第2期129-138,共10页分析理论与应用（英文刊）

基　　金：Partially supported by NSFC(10571130);NSFC(10501033) and SRFDP of China.

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, dimBμm, or dimBμm.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, dimBμm, or dimBμm.

关 键 词：Hausdorff dimension random dynamical systems 

分 类 号：O19[理学—数学]