Lyapunov exponents for continuous random transformations  

作　　者：ZHU YuJun & ZHANG JinLian College of Mathematics and Information Science, Hebei Normal University, Shijiazhuang 050016, China 

出　　处：《Science China Mathematics》2010年第2期413-424,共12页中国科学：数学（英文版）

基　　金：supported by National Natural Science Foundation of China (Grant No. 10701032);Natural Science Foundation of Hebei Province (Grant No. A2008000132)

摘　　要：In this paper, the concept of Lyapunov exponent is generalized to random transformations that are not necessarily differentiable. For a class of random repellers and of random hyperbolic sets obtained via small perturbations of deterministic ones respectively, the new exponents are shown to coincide with the classical ones.In this paper, the concept of Lyapunov exponent is generalized to random transformations that are not necessarily differentiable. For a class of random repellers and of random hyperbolic sets obtained via small perturbations of deterministic ones respectively, the new exponents are shown to coincide with the classical ones.

关 键 词：RANDOM transformation Lyapunov EXPONENT MULTIPLICATIVE ERGODIC theorem RANDOM REPELLER RANDOM HYPERBOLIC set 

分 类 号：O19[理学—数学]