Ergodic theory of differentiable dynamical systems

https://repo-archives.ihes.fr/FONDS_IHES/I_Prepublications/RUELLE/1977-1990/P_78_240/P_78_240.pdf

Ruelle, David

RUELLE

09/1978

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.

THEORIE ERGODIQUE

P/78/240

©IHES

Citer ce document

RUELLE, “Ergodic theory of differentiable dynamical systems,” Archives de l'IHES, consulté le 30 mai 2024, https://omeka.ihes.fr/document/P_78_240.pdf.