Nicolaas H. Kuiper présentant le flexaèdre de Connely au séminaire Bourbaki
DIRECTEUR
FLEXAEDRE DE CONNELLY
BOURBAKI
Directeur de l'IHES de 1971 à 1985
JACOBS
ZP2.3.3 (18)
IHES
K. Jacobs
9x13 cm
IMAGE
TIRAGE PHOTOGRAPHIQUE
TIRAGE PHOTOGRAPHIQUE
ZP2_3_3_18.jpg
1978
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
Almost periodic states on C*-algebras *)
C*-ALGEBRES
GROUPES D'AUTOMORSPHISME
Abstract : Given a C*-algebra O with a group of automorphisms, we define and study almost periodic states on O. A natural decomposition of such states is introduced and discussed.
*) These notes are a result of discussions between S. Dpolicher, G. Gallavotti and D. Ruelle, they are not intended for publication.
RUELLE
P/67/X015
IHES
1967
A4
8 f.
EN
TEXTE
PREPUBLICATION
P_67_X015.pdf
1967
Mean entropy of States in classical statistical mechanics
ENTROPIE
RESEAUX
PHYSIQUE STATISTIQUE
SYSTEMES COMPLEXES
Abstract : The equilibrium states for an infinite system of classical mechanics may be represented by states over Abelian C* algebras. We consider here continuous and lattice systems and define a mean entropy for their states. The properties of this mean entropy are investigated : linearity, upper semi-continuity, integral representations. In the lattice case, it is found that our mean entropy coincides with the KOLMOGOROV-SINAI invariant of ergodic theory.
RUELLE
ROBINSON
P/66/04
IHES
1966
A4
25 f.
EN
TEXTE
PREPUBLICATION
P_66_04.pdf
1966