The relation of dimension,entropy and Lyapunov exponent in random case期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

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The relation of dimension,entropy and Lyapunov exponent in random case

Authors:	Yun Zhao

Institution:	Department of Mathematics Suzhou University Suzhou 215006 P. R. China

Abstract:	We consider random systems generated by two-sided compositions of random surface diffeomorphisms, together with an ergodic Borel probability measure μ. Let D(μ_ω) be its dimension of the sample measure, then we prove a formula relating D(μ_ω) to the entropy and Lyapunov exponents of the random system, where D(μ_ω) is dim_Hμ_ω, $\underline {\dim } _B \mu \omega$ , or $\overline {\dim } _B \mu \omega$ . Partially supported by NSFC(10571130), NSFC(10501033) and SRFDP of China.

Keywords:	Hausdorff dimension random dynamical systems
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