The Density at infinity of a discrete group of hyperbolic motions
subject: THEORIE ERGODIQUE
subject: THEORIE DE LA MESURE
subject: TRANSFORMATIONS
subject: SURFACES DE RIEMANN
subject: GROUPES DE KLEIN
description: Dedicated to Rufus Bowen
creator: SULLIVAN
source: M/79/261
publisher: IHES
date: 03/1979
format: A4
format: 27 f.
language: EN
type: TEXTE
type: PREPUBLICATION
coverage: 1979

On the Ergodic theory at infinity of an arbitrary discrete group of hyperbolic motions
subject: THEORIE ERGODIQUE
subject: GROUPES DISCRETS
subject: MOUVEMENT
subject: HYPERBOLES
creator: SULLIVAN
source: M/78/229
publisher: IHES
date: 06/1978
format: A4
format: 18 f.
language: EN
type: TEXTE
type: PREPUBLICATION
coverage: 1978

A Fioliation of geodesics in characterized by having no tangent homologies and a homological characterization of foliations consisting of minimal surfaces
subject: GEODESIQUES
subject: HOMOLOGIE
subject: TANGENTES
subject: SURFACES MINIMALES
description: Dedicated to the memory of George Cooke.
creator: SULLIVAN
source: M/78/202
publisher: IHES
date: 01/1978
format: A4
format: 7 f.
language: EN
type: TEXTE
type: PREPUBLICATION
coverage: 1978

Hyperbolic geometry and homeomorphisms
subject: GEOMETRIE HYPERBOLIQUE
subject: HOMEOMORPHISMES
creator: SULLIVAN
source: M/78/200B
publisher: IHES
date: 01/1978
format: A4
format: 7 f.
language: EN
type: TEXTE
type: PREPUBLICATION
coverage: 1978

Hyperbolic geometry and homomorphisms. (Suivi de) On Complexes that are Lipschitz manifolds
subject: GEOMETRIE HYPERBOLIQUE
subject: HOMEOMORPHISMES
subject: VARIETES
subject: COMPLEXES
subject: CONGRES ET CONFERENCES
description: Two papers for the proceedings of the Athnes, Georgia Topology Conference of August, 1977
creator: SULLIVAN
creator: SIEBENMANN
source: M/78/200A
publisher: IHES
date: 01/1978
format: A4
format: 21 f.
language: EN
type: TEXTE
type: PREPUBLICATION
coverage: 1978

Cycles for the dynamical study of foliated manifolds and complex manifolds
subject: DISTRIBUTION
subject: THEORIE DES PROBABILITES
subject: HOMOLOGIE
subject: CHAMPS VECTORIELS
subject: FEUILLETAGES
creator: SULLIVAN
source: M/76/136
publisher: IHES
date: 02/1976
format: A4
format: 33 f.
language: EN
type: TEXTE
type: PREPUBLICATION
coverage: 1976

A New flow
subject: DYNAMIQUE TOPOLOGIQUE
subject: FLUX
creator: SULLIVAN
source: M/75/123
publisher: IHES
date: 10/1975
format: A4
format: 3 f.
language: EN
type: TEXTE
type: PREPUBLICATION
coverage: 1975

A Counterexample to the periodic orbit conjecture
subject: CERCLE
subject: ORBITES
subject: FONCTIONS PERIODIQUES
creator: SULLIVAN
source: M/75/113
publisher: IHES
date: 02/1975
format: A4
format: 15 f.
language: EN
type: TEXTE
type: PREPUBLICATION
coverage: 1975

Foliations with all leaves compact
subject: FEUILLLETAGES
subject: MATHEMATIQUES
subject: THEORIE GEOMETRIQUE DES GROUPES
creator: SULLIVAN
creator: EDWARDS
creator: MILLET
source: M/75/111
publisher: IHES
date: 06/1975
format: A4
format: 52 f.
language: EN
type: TEXTE
type: PREPUBLICATION
coverage: 1975

The Homology theory of the closed geodesic problem
subject: TOPOLOGIE ALGEBRIQUE
subject: HOLOTOPIE
subject: GEODESIE
creator: SULLIVAN
creator: VIGUE-POIRRIER
source: M/75/109
publisher: IHES
date: 1975
format: A4
format: 20 f.
language: EN
type: TEXTE
type: PREPUBLICATION
coverage: 1975

A semi-local combinatorial formula for the signature of a 4k-manifold
subject: SIMPLEXES
subject: MATHEMATIQUES
subject: DISTRIBUTION
subject: THEORIE DES PROBABILITES
creator: SULLIVAN
creator: RANICKI
source: M/74/82
publisher: IHES
date: 05/1974
format: A4
format: 9 f.
language: EN
type: TEXTE
type: PREPUBLICATION
coverage: 1974

Inside and outside manifolds
subject: THEORIE DE LA CLASSIFICATION
subject: VARIABLES
subject: DISTRIBUTION
subject: THEORIE DES PROBABILITES
creator: SULLIVAN
source: M/74/18
publisher: IHES
date: [12/1974]
format: A
format: 13 f.
language: EN
type: TEXTE
type: PREPUBLICATION
coverage: 1974

Real homotopy of Kähler manifolds
subject: VARIETES KAHLERIENNES
subject: TOPOLOGIE ALGEBRIQUE
subject: ALGEBRE DIFFERENTIELLE
subject: VARIETES
subject: HOMOTOPIE
creator: SULLIVAN
creator: DELIGNE
creator: GRIFFITH
creator: MORGAN
source: M/74/13
publisher: IHES
date: 10/1974
relation: Deligne P. / Griffiths, P. / Morgan, J. et al. Real homotopy theory of Kähler manifolds. Invent Math 29 p. 245–274 (1975). https://doi.org/10.1007/BF01389853
format: A4
format: 69 f.
language: EN
type: TEXTE
type: PREPUBLICATION
coverage: 1974

Do there exist turbulent crystals ?
subject: CRISTAUX
subject: TURBULENCE
description: Abstract : We discuss the possibility that, besides periodic and quasiperiodic crystals, there exist turbulent crystals as thermodynamic equilibrium states at non-zero temperature. Turbulent crystals would not be invariant under translation, but would differ from other crystals by the fuzziness of some diffraction peaks. Turbulent crystals could appear by breakdown of long range order in quasiperiodic crystals with two independent modulations.
creator: RUELLE
source: P/82/02
publisher: IHES
date: 01/1982
format: A4
format: 6 f.
language: EN
type: TEXTE
type: PREPUBLICATION
coverage: 1982

Repellers for real analytic maps
subject: PHYSIQUE NUCLEAIRE
subject: PARTICULES
creator: RUELLE
source: P/81/52
publisher: IHES
date: 11/1981
format: A4
format: 7 f.
language: EN
type: TEXTE
type: PREPUBLICATION
coverage: 1981

Small random perturbations of dynamical systems and the definition of attractors
subject: RESEAUX
subject: SYSTEMES DYNAMIQUES
subject: PHYSIQUE STATISTIQUE
subject: SYSTEMES COMPLEXES
subject: THEORIES NON LINEAIRES
description: Abstract : The strange attractors plotted by computers and seen in physical experiments do not necessarily have an open basin of attraction. In view of this we study a new definition of attractors based on ideas of Conley. We argue that the attractors observed in the presence of small random perturbations correspond to this new definition.
creator: RUELLE
source: P/81/23
publisher: IHES
date: 03/1981
format: A4
format: 15 f.
language: EN
type: TEXTE
type: PREPUBLICATION
coverage: 1981

Characteristic exponents and invariant manifolds in Hilbert space
subject: THEORIE ERGODIQUE
subject: MATHEMATIQUES
subject: VARIETES
subject: ESPACES DE HILBERT
subject: THEOREMES
subject: TOPOLOGIE
subject: VALEURS PROPRES
subject: FONCTIONS
subject: SYSTEMES SYNAMIQUES
description: 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.
creator: RUELLE
source: P/80/11
publisher: IHES
date: 03/1980
format: A4
format: 38 f.
language: EN
type: TEXTE
type: PREPUBLICATION
coverage: 1980

Measures describing a turbulent flow
subject: STABILITE
subject: PERTURBATION
subject: PROCESSUS STOCHASTIQUES
subject: TEMPS
description: Abstract :Recent attempts at understanding hydrodynamic turbulence have used the ideas of strange attractors, characteristic exponents and stable manifolds for differentiable dynamical systems in finite dimensional spaces. This use was somewhat metophorical, because hydrodynamic evolution is defined in infinite dimensional functional spaces. A recent study indicates that many results in infinite dimensional Hilbert spaces under certain compactness assumptions. This is the case in particular for the time evolution defined by the Navier-Stokes equations in a bounded region of R2 or R3.
creator: RUELLE
source: P/79/313
publisher: IHES
date: 11/1979
format: A4
format: 9 f.
language: EN
type: TEXTE
type: PREPUBLICATION
coverage: 1979

On the Measures which describe turbulence
subject: TURBULENCE
subject: HYDRODYNAMIQUE
subject: THEORIE ASYMPTOTIQUE
subject: HEURISTIQUE
description: Abstract : One expects that the average behavior (over large times) for hydordynamics and other natural phenomena is described by certain asymptotic measures on phase space. If initial conditions in a set of zero Lebesgu measure ar discarded, the asymptotic measures can be characterized on the basis of heuristic arguments. The requirement of stability under small stochastic perturbations produces measures with the same characterizations. We give here a critical discussion of the heuristic arguments and of the possible use of the characterizations of the asymptotic measures in the study of turbulence.
creator: RUELLE
source: P/78/245
publisher: IHES
date: 11/1978
format: A4
format: 13 f.
language: EN
type: TEXTE
type: PREPUBLICATION
coverage: 1978

Ergodic theory of differentiable dynamical systems
subject: THEORIE ERGODIQUE
subject: SYSTEMES DYNAMIQUES
subject: THEOREME
subject: EXPOSANTS
subject: VARIETES
subject: STABILITE
description: 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.
creator: RUELLE
source: P/78/240
publisher: IHES
date: 09/1978
format: A4
format: 31 f.
language: EN
type: TEXTE
type: PREPUBLICATION
coverage: 1978

The Multiplicative ergodic theorem
subject: THEORIE ERGODIQUE
subject: SYSTEMES DYNAMIQUES
subject: DYNAMIQUE DIFFERENTIABLE
creator: RUELLE
source: P/78/214
publisher: IHES
date: 03/1978
format: A4
format: 12 f.
language: EN
type: TEXTE
type: PREPUBLICATION
coverage: 1978

Analiticity properties of the characteristic exponents of random matrix products
subject: EXPOSANTS
subject: MATRICES
creator: RUELLE
source: P/77/193
publisher: IHES
date: 11/1977
format: A4
format: 11 f.
language: EN
type: TEXTE
type: PREPUBLICATION
coverage: 1977

Sensitive dependence on initial conditions and turbulent behavior of dynamical systems
subject: SYSTEMES DYNAMIQUES
subject: DYNAMIQUE DIFFERENTIABLE
description: Abstract : The asymptotic behavior of differentiable dynamical systems is analyzed. We discuss its descriptoin by asymptotic measures and the turbulent behavior with senditive dependence on initial condition.
creator: RUELLE
source: P/77/190
publisher: IHES
date: 10/1977
format: A4
format: 9 f.
language: EN
type: TEXTE
type: PREPUBLICATION
coverage: 1977

Dynamical systems with turbulent behavior
subject: CONGRES ET CONFERENCES
subject: SYSTEMES DYNAMIQUES
subject: ENTROPIE
subject: RADON
description: [Text of a talk presented at the International Mathematical Physics Conference in Rome, 1977]
creator: RUELLE
source: P/77/189
publisher: IHES
date: 10/1977
format: A4
format: 13 f.
language: EN
type: TEXTE
type: PREPUBLICATION
coverage: 1977

Integral representation of measures associated with a foliation
subject: CALCUL INTEGRAL
subject: TOPOLOGIE DIFFERENTIELLE
subject: FEUILLETAGES
subject: THEORIE GEOMETRIQUE DES FONCTIONS
creator: RUELLE
source: PM/77/181
publisher: IHES
date: 05/1977
format: A4
format: 6 f.
language: EN
type: TEXTE
type: PREPUBLICATION
coverage: 1977

Applications conservant une mesure absolument continue par rapport à dx sur [0, 1]
subject: FONCTIONS DIFFERENTIABLES
subject: THEORIE DE LA MESURE
description: Abstract : Sufficient conditions are given such that a differentiable, noninvertible, map g : [0,1]~[0,1] leaves invariant a measure absolutely continuous with respect to the Lebesgue measure. In particular, this is shown to be the case for 9(x)=Rx(1- x) when R = 3,6785735 ....
creator: RUELLE
source: P/77/163
publisher: IHES
date: 03/1977
format: A4
format: 6 f.
language: FR
language: EN
type: TEXTE
type: PREPUBLICATION
coverage: 1977

A Heuristic theory of phase transitions
subject: RESEAUX
subject: SYSTEMES COMPLEXES
subject: ESPACES DE BANACH
subject: TRANSITIONS DE PHASE
description: Abstract : Let Z be a suitable Banach space of interactions for a lattice spin system. If n+1 thermodynamic phases coexist for ?0 ?Z, it is shown that a manifold of codimension n of coexistence of (at least) n+1 phases passes through ?0. There are also n+1 manifolds of codimension n?1 of coexistence of (at least) n phases; these have a common boundary along the manifold of coexistence of n+1 phases. And so on for coexistence of fewer phases. This theorem is proved under a technical condition (R) which says that the pressure is a differentiable function of the interaction at ?0 when restricted to some codimensionn affine subspace of Z. The condition (R) has not been checked in any specific instance, and it is possible that our theorem is useless or vacuous. We believe however that the method of proof is physically correct and constitutes at least a heuristic proof of the Gibbs phase rule.
creator: RUELLE
source: P/76/149
publisher: IHES
date: 10/1976
format: A4
format: 25 f.
language: EN
type: TEXTE
type: PREPUBLICATION
coverage: 1976

Probability estimates for continuous spin systems
subject: PROBABILITES
subject: CENTRIFUGATION
description: Abstract : Probability estimates for classical systems of particles with superstable interactions [1] are extended to continuous spin systems.
creator: RUELLE
source: P/75/129
publisher: IHES
date: 12/1975
format: A4
format: 11 f.
language: EN
type: TEXTE
type: PREPUBLICATION
coverage: 1975

On Manifolds of phase coexistence
subject: PHYSIQUE THEORIQUE
subject: PHYSIQUE MATHEMATIQUE
description: Abstract : Using a theorem on convex functions due to Israel, it is shown that a point of coexistence of n+1n+1 phases cannot be isolated in the space of interactions, but lies on some infinite dimensional manifold.
creator: RUELLE
source: P/75/128
publisher: IHES
date: 12/1975
format: A4
format: 13 f.
language: EN
type: TEXTE
type: PREPUBLICATION
coverage: 1975

Zeta-functions for expanding maps and Anosov flows
subject: FONCTIONS ZETA
subject: FLOTS D'ANOSOV
description: Abstract : Given a real-analytic expanding endomorphism of a compact manifold M, a meromorphic zeta function is defined on the complex-valued real-analytic functions on M. A zeta function for Anosov flows is shown to be meromorphic if the flow and its stable-unstable foliations are real-analytic.
creator: RUELLE
source: MP/75/106
publisher: IHES
date: 05/1975
format: A4
format: 24 f.
language: EN
type: TEXTE
type: PREPUBLICATION
coverage: 1975

Generalized zeta-functions for axiom : a basic sets
subject: FONCTIONS ZETA
subject: AXIOMES
creator: RUELLE
source: P/75/104
publisher: IHES
date: 03/1975
format: A4
format: 9 f.
language: EN
type: TEXTE
type: PREPUBLICATION
coverage: 1975

Currents, flows, and diffeomorphisms
subject: DIFFEOMORPHISMES
subject: TOPOLOGIE DIFFERENTIELLE
creator: RUELLE
creator: SULLIVAN
source: M/74/84
publisher: IHES
date: 06/1974
format: A4
format: 24 f.
language: EN
type: TEXTE
type: PREPUBLICATION
coverage: 1974

The Ergodic theory of axiom a flows
subject: THEORIE ERGODIQUE
subject: ENTROPIE
subject: AXIOMES
creator: RUELLE
creator: BOWEN
source: P/74/78
publisher: IHES
date: 03/1974
format: A4
format: 38 f.
language: EN
type: TEXTE
type: PREPUBLICATION
coverage: 1974

Some Remarks on the location of zeroes of the partition function for lattice systems
subject: RESEAUX
subject: SYSTEMES COMPLEXES
subject: SYSTEMES DYNAMIQUES
subject: SYSTEMES NON LINEAIRES
subject: THEORIE DES TREILLLIS
description: Abstract : We use techniques which generalize the Lee-Yang circle theorem to investigate the distribution of zeroes of the partition function for various classes of classical lattice systems.
creator: RUELLE
source: P/72/29
publisher: IHES
date: 1972
format: A4
format: 23 f.
language: EN
type: TEXTE
type: PREPUBLICATION
coverage: 1972

Bifurcations in the presence of a symmetry group
subject: RESEAUX
subject: SYSTEMES COMPLEXES
subject: SYSTEMES DYNAMIQUES
subject: SYSTEMES NON LINEAIRES
subject: GROUPES DE SYMETRIE
subject: ELECTROMAGNETISME
description: Abstract : Let the origin O of a Banach space E be a fixed point of a diffeomorphism or a critical point of a vector, assuming equivariance under a linear group of isometries of E. Explicit techniques are presented to handle the generalization of the Hopf bifurcation to this equivariant situation.
creator: RUELLE
source: P/72/20
publisher: IHES
date: 07/1972
format: A4
format: 33 f.
language: EN
type: TEXTE
type: PREPUBLICATION
coverage: 1972

Statistical mechanics on a compact set withe Z? action satisfying expansiveness and specification
subject: MECANIQUE STATISTIQUE
subject: THEORIE DES ENSEMBLES
creator: RUELLE
source: P/72/08
publisher: IHES
date: 07/1970
format: A4
format: 33 f.
language: EN
type: TEXTE
type: PREPUBLICATION
coverage: 1970

On the Nature of turbulence
subject: RESEAUX
subject: PHYSIQUE STATISTIQUE
subject: SYSTEMES COMPLEXES
subject: SYSTEMES DYNAMIQUES
subject: INFORMATIQUE QUANTIQUE
subject: SYSTEMES NON LINEAIRES
description: Abstract : A mechanism for the genetration of turbulence and related phenomena in dissipative systems is proposed.
creator: RUELLE
creator: TAKENS
source: P/70/X036
publisher: IHES
date: 05/1970
format: A4
format: 16 f.
language: EN
type: TEXTE
type: PREPUBLICATION
coverage: 1970

Analiticity of Green's functions of dilute quantum gases
subject: FONCTIONS DE GREEN
subject: GAZ
subject: THEORIE QUANTIQUE DES CHAMPS
creator: RUELLE
source: P/70/X035
publisher: IHES
date: 1970
format: A4
format: 5 f.
language: EN
type: TEXTE
type: PREPUBLICATION
coverage: 1970

Superstable interactions in classical statistical mechanics
subject: RESEAUX
subject: PHYSIQUE STATISTIQUE
subject: FONCTIONS CONTINUES
subject: FONCTIONS DE CORRELATION
subject: EQUILIBRE
description: Abstract : We consider classical systems of particles inv dimensions. For a very large class of pair potentials (superstable lower regular potentials) it is shown that the correlation functions have bounds of the form ?(x1,...,xn)??n. Using these and further inequalities one can extend various results obtained by Dobrushin and Minlos [3] for the case of potentials which are non-integrably divergent at the origin. In particular it is shown that the pressure is a continuous function of the density. Infinite system equilibrium states are also defined and studied by analogy with the work of Dobrushin [2a] and of Lanford and Ruelle [11] for lattice gases.
creator: RUELLE
source: P/70/X033
publisher: IHES
date: 1970
format: A4
format: 23 f.
language: EN
type: TEXTE
type: PREPUBLICATION
coverage: 1970

Integral representation of states on a C*-algebras
subject: RESEAUX
subject: PHYSIQUE STATISTIQUE
subject: SYSTEMES COMPLEXES
subject: SYSTEMES DYNAMIQUES
description: Abstract : Let E be the compact set of states on a C?-algebra U with identity. We discuss the representations of a state ? as barycenter of a probability measure ? on E. Examples of such representations are the central decomposition and the ergodic decomposition. They are associated with an Abelian von Neumann algebra B in the commutant ?(U)? of the image of U in the representation canonically associated with ?. This situation is studied in general and a number of applications are discussed.
creator: RUELLE
source: P/70/X029
publisher: IHES
date: 1970
format: A4
format: 30 f.
language: EN
type: TEXTE
type: PREPUBLICATION
coverage: 1970