Stability of Oseledets spaces is equivalent to stability of Lyapunov exponents

摘要

The object of the multiplicative ergodic theorem (Lyapunov exponents and Oseledets spaces for products of random matrices) play a grey role in the local theory of Random dynamical systems. In this paper their behaviour under perturbations is investi- Gated. It is shown that stability of Oseledets spaces is equivalent to stabioity of Lyapunov Exponents.