PSEUDO-ORBIT-TRACING-PROPERTY FOR RANDOM DIFFEOMORPHISMS

In this paper we consider the pseudo-orbit tracing property for dynami cal systems generated by iterations of random diffeomorphisms. We firs t define a type of hyperbolicity by means of a 'random' multiplicative ergodic theorem, and then prove our shadowing result by employing the graph transformation methods. That result applies to, for example, th e case of small random diffeomorphisms type perturbations of hyperboli c sets of deterministic dynamical systems.