The metric entropy of random dynamical systems in a Banach space: Ruelle inequality

被引：5
|
作者：
Li, Zhiming [1 ]
Shu, Lin [2 ]
机构：
[1] Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China
[2] Peking Univ, Sch Math Sci, LMAM, Beijing 100871, Peoples R China
来源：
ERGODIC THEORY AND DYNAMICAL SYSTEMS | 2014年 / 34卷
关键词：
CHARACTERISTIC EXPONENTS; DIFFEOMORPHISMS; MANIFOLDS; BUNDLES;
D O I：
10.1017/etds.2012.138
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Consider a random cocycle Phi on a separable infinite-dimensional Banach space preserving a probability measure, which is supported on a random compact set. We show that if Phi satisfies some mild integrability conditions on the differentials, then Ruelle's inequality relating entropy and positive Lyapunov exponents holds.
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页码：594 / 615
页数：22
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