Invariant manifolds for products of random diffeomorphisms (Q1363316)

Using a generalization of Oseledec's multiplicative ergodic theorem, the author generalizes Pesin's results to products of random diffeomorphisms on compact Riemannian manifolds. Stable and unstable manifolds are constructed with respect to almost arbitrary parameters disjoint from the Lyapunov spectrum. The author also investigates the connection between the generalized stable manifolds of points from different orbits.