Ergodic theory of differentiable dynamical systems
THEORIE ERGODIQUE
SYSTEMES DYNAMIQUES
THEOREME
EXPOSANTS
VARIETES
STABILITE
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.
RUELLE
P/78/240
IHES
09/1978
A4
31 f.
EN
TEXTE
PREPUBLICATION
P_78_240.pdf
1978