Characteristic exponents and invariant manifolds in Hilbert space
THEORIE ERGODIQUE
MATHEMATIQUES
VARIETES
ESPACES DE HILBERT
THEOREMES
TOPOLOGIE
VALEURS PROPRES
FONCTIONS
SYSTEMES SYNAMIQUES
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 apply to partial differential equations of evolution and also to non-invertible maps of compact manifolds.
RUELLE
P/80/11
IHES
03/1980
A4
38 f.
EN
TEXTE
PREPUBLICATION
P_80_11.pdf
1980
Statistical mechanics of a one-dimensional lattice gas
MECANIQUE STATISTIQUE
RESEAUX
GAZ
Abstract : We study the statistical mechanics of an infinite one-dimensional classical lattice gas. Extending a result of Van Hove we show that, for a large class of interactions, such a system has no phase transition. The equilibrium state of the system is represented by a measure which is invariant under the effect of lattice translations. The dynamical system defined by this invariant measure is shown to be a K-system.
RUELLE
P/67/X016
IHES
1967
A4
10 f.
EN
TEXTE
PREPUBLICATION
P_67_X016.pdf
1967