Entropy formula for random dynamical systems: relations between entropy, exponents and dimension

被引：9
|
作者：
Qian, M [1 ]
Qian, MP [1 ]
Xie, JS [1 ]
机构：
[1] Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China
来源：
ERGODIC THEORY AND DYNAMICAL SYSTEMS | 2003年 / 23卷
关键词：
D O I：
10.1017/S0143385703000178
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we consider random dynamical systems generated by compositions of one-sided independent and identically distributed random diffeomorphisms of class C-2 on a compact manifold. We prove an entropy formula for such random dynamical systems without assuming the SRB condition. This result is the random version of the main result obtained by Ledrappier and Young (The metric entropy of diffeomorphisms. Part II: Relations between entropy, exponents and dimension. Ann. Math. 122 (1985), 540-574).
引用
收藏
页码：1907 / 1931
页数：25
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