Ergodic theory of differentiable dynamical systems

Collection : Ruelle, David

Auteur(e.s) : RUELLE

Date : 09/1978

Description : Abstract : If f is a C1+? diffeomorphism of a compact manifold M, we prove the existence of stable manifolds, almost verywhere with respect to every f-invariant probability measure on M. These stable manifolds are smooth but do not in general constitute a continuous family. The proof of this stable manifold theorem (and similar results) is through the study of random matrix products (multiplicative ergodic theorem) and perturbation of such products.

Sujet(s) : THEORIE ERGODIQUE

Source : P/78/240

©IHES