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Mots-clés: KINGMAN

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Characteristic exponents and invariant manifolds in Hilbert space

https://repo-archives.ihes.fr/FONDS_IHES/I_Prepublications/RUELLE/1977-1990/P_80_11/P_80_11.pdf

Abstract : The multiplicative ergodic theorem and the construction almost everywhere of stable and unstable manifolds (Pesin theory) are extended to differentiable dynamical systems on Hilbert manifolds under some compactness assumptions. The results…

Mots-clés: 1980, BANACH, BOREL, BRIN, CAUCHY, EN, ESPACES DE HILBERT, FONCTIONS, FURSTENBERG, HAUSDORFF, HILBERT, HOLDER, KESTEN, KINGMAN, LIPSCHITZ, MATHEMATIQUES, PESIN, PREPUBLICATION, RAGHUNATHAN, RUELLE, SHUB, STEINHAUS, SYSTEMES SYNAMIQUES, THEOREMES, THEORIE ERGODIQUE, TOPOLOGIE, VALEURS PROPRES, VARIETES

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

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…

Mots-clés: 1978, AKCOGLU, BOGOLIUBOV, BOREL, CAUCHY, DERRIENNIC, EN, EXPOSANTS, FURSTENBERG, HIRSCH, HOLDER, JACOBS, KATOK, KESTEN, KINGMAN, KRYLOV, MARGULIS, OSELEDEC, PESIN, PREPUBLICATION, PUGH, RADON, RAGHUNATHAN, RUELLE, SHUB, STABILITE, SUCHESTON, SYSTEMES DYNAMIQUES, THEOREME, THEORIE ERGODIQUE, TITS, VARIETES