Lianfa He - College of Mathematics and Information Science, Hebei Normal University, Shijiazhuang, 050016, China (email)
Abstract: In this paper we consider the shadowing property for $C^1$ random dynamical systems. We first define a type of hyperbolicity on the full measure invariant set which is given by Oseledec's multiplicative ergodic theorem, and then prove that the system has the "Lipschitz" shadowing property on it.
Keywords: Random dynamical system, multiplicative ergodic theorem, shadowing
Received: August 2003; Revised: August 2004; Published: December 2004.
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