Computer assisted proofs in analysis
subject: INFORMATIQUE
subject: ORDINATEURS
subject: DEMONSTRATION
subject: CONFERENCES ET CONGRES
subject: NOMBRES REELS
subject: ANALYSE MATHEMATIQUE
creator: LANFORD
source: P/87/16
publisher: IHES
date: 05/1985
format: A4
format: 5 f.
language: EN
type: TEXTE
type: PREPUBLICATION
coverage: 1987

Circle mappings
subject: CONFERENCES ET CONGRES
subject: CERCLE
subject: CARTOGRAPHIE
subject: SYSTEMES DYNAMIQUES
subject: GROUPE DE RENORMALISATION
creator: LANFORD
source: P/87/15
publisher: IHES
date: 05/1985
format: A4
format: 7 f.
language: EN
type: TEXTE
type: PREPUBLICATION
coverage: 1987

An Introduction to computers and numerical analysis : texte for a series of lectures given at les Houches Session XLIII (Critical phenomena, Random systems, Gauge Theories) August 1984
subject: ORDINATEURS
subject: SYSTEMES INFORMATIQUES
subject: ANALYSE NUMERIQUE
subject: CONFERENCES ET CONGRES
subject: POLYNOMES
subject: INTEGRALES
subject: EQUATIONS DIFFERENTIELLES
subject: TRANSFORMATIONS DE FOURIER
creator: LANFORD
source: P/85/29
publisher: IHES
date: 05/1985
format: A4
format: 35 f.
language: EN
type: TEXTE
type: PREPUBLICATION
coverage: 1985

Introduction to hyperbolic sets
subject: SYSTEMES DYNAMIQUES
subject: ASTRONOMIE
subject: ORBITES
subject: ENSEMBLES INVARIANTS
subject: HYPERBOLES
creator: LANFORD
source: M/84/48
publisher: IHES
date: 10/1984
format: A4
format: 16 f.
language: EN
type: TEXTE
type: PREPUBLICATION
coverage: 1984

A Shorter proof of the existence of the Feigenbaum fixed point
subject: TOPOLOGIE
subject: OPERATEURS NON LINAIRES
subject: DEMONSTRATION
subject: THEOREME DU POINT FIXE
creator: LANFORD
source: M/84/39
publisher: IHES
date: 08/1984
format: A4
format: 11 f.
language: EN
type: TEXTE
type: PREPUBLICATION
coverage: 1984

Dynamique symbolique des rotations
subject: DYNAMIQUE SYMBOLIQUE
subject: ALGEBRE LINEAIRE
subject: MOUVEMENT ROTATOIRE
subject: SUITES MATHEMATIQUES
creator: LANFORD
creator: GAMBAUDO
creator: TRESSER
source: P/84/29
publisher: IHES
date: 07/1984
format: A4
format: 4 f.
language: FR
language: EN
type: TEXTE
type: PREPUBLICATION
coverage: 1984

A Computer-assisted proof of the Feigenbaum conjectures
subject: DEMONSTRATION
subject: THEORIE DU CHAOS
subject: INFORMATIQUE
creator: LANFORD
source: P/81/17
publisher: IHES
date: 04/1981
format: A4
format: 7 f.
language: EN
type: TEXTE
type: PREPUBLICATION
coverage: 1981

Computer science bibliography
subject: INFORMATIQUE
subject: BIBLIOGRAPHIE
creator: LANFORD
source: M/81/BIB
publisher: IHES
date: 03/1981
format: A4
format: 3 f.
language: EN
type: TEXTE
type: PREPUBLICATION
coverage: 1981

The Classical mechanics of one-dimensional systems of infinitely many particles II : Kinetic theory
subject: THEORIE DES SYSTEMES
subject: MECANIQUE ANALYTIQUE
subject: SYSTEMES DYNAMIQUES
creator: LANFORD
source: P/68/X021
publisher: IHES
date: 1968
format: 21x27
format: 37 f.
language: EN
type: TEXTE
type: PREPUBLICATION
coverage: 1968

Statistical mechanics of quantum spin systems III
subject: MECANIQUE STATISTIQUE
subject: THEORIE QUANTIQUE DES CHAMPS
subject: SPIN
creator: LANFORD
creator: ROBINSON
source: P/68/X020
publisher: IHES
date: 04/1968
format: 21x27
format: 10 f.
language: EN
type: TEXTE
type: PREPUBLICATION
coverage: 1968

The Classical mechanics of one-dimensional systems of infinitely many particles : I. an Existance theorem
subject: THEORIE DES SYSTEMES
subject: THEOREMES D'EXISTENCE
subject: SYSTEMES DYNAMIQUES
creator: LANFORD
source: P/68/X019
publisher: IHES
date: 1968
format: 21x27
format: 17 f.
language: EN
type: TEXTE
type: PREPUBLICATION
coverage: 1968

Observables at Infinity and States with Short Range : Correlations in Statistical Mechanics
subject: MECANIQUE STATISTIQUE
subject: FONCTIONS DE CORRELATION
subject: INFORMATIQUE QUANTIQUE
subject: THEORIE DES TREILLIS
description: Abstract : We say that a representation of an algebra of local observables has short-range correlations if any observable which can be measured outside all bounded sets is a multiple of the identity, and that a state has finite range correlations if the corresponding cyclic representation does. We characterize states with short-range correlations by a cluster property. For classical lattice systems and continuous systems with hard cores, we give a definition of equilibrium state for a specific interaction, based on a local version of the grand canonical prescription; an equilibrium state need not be translation invariant. We show that every equilibrium state has a unique decomposition into equilibrium states with short-range correlations. We use the properties of equilibrium states to prove some negative results about the existence of metastable states. We show that the correlation functions for an equilibrium state satisfy the Kirkwood-Salsburg equations; thus, at low activity, there is only one equilibrium state for a given interaction, temperature, and chemical potential. Finally, we argue heuristically that equilibrium states are invariant under time-evolution.
creator: LANDFORD
creator: RUELLE
source: P/69/12
publisher: IHES
date: [06/1969]
format: A4
format: 42 f.
language: EN
type: TEXTE
type: PREPUBLICATION
coverage: 1969

On Gradient curves of an analytic function near a critical point
subject: COURBES
subject: ANALYSE VECTORIELLE
subject: FONCTIONS ANALYTIQUES
description: René Thom [T] conjectured that a gradient curve x(t) of an analytic function on Rn, wich descends to the critical point x(?) = 0 ? Rn, called a path, has there a tangent. We prove this in case n = 3 for standard paths and standard functions. For the remaining, rare paths and rare functions we reduce the conjecture for irreductible ? to an evident conjecture and give some arguments in favour of CRT for reductible ?. We did not succeed in elaborating these arguments to a complete proof that covers all cases.
creator: KUIPER
source: M/91/36
publisher: IHES
date: 06/1991
format: A4
format: 37 f.
language: EN
type: TEXTE
type: PREPUBLICATION
coverage: 1991

On the Normal Gauss map of a tight smooth surface in R3
subject: THEORIE DES ENSEMBLES
subject: NOMBRES REELS
subject: GEOMETRIE DIFFERENTIELLE
subject: SURFACES
creator: KUIPER
creator: HAAB
source: M/91/34
publisher: IHES
date: 06/1991
format: A4
format: 5 f.
language: EN
type: TEXTE
type: PREPUBLICATION
coverage: 1991

Tight and taut immersions
subject: MATHEMATIQUES
subject: IMMERSIONS
creator: KUIPER
source: M/90/14
publisher: IHES
date: 02/1990
format: A4
format: 7 f.
language: EN
type: TEXTE
type: PREPUBLICATION
coverage: 1990

Fairly symmetric hyperbolic manifolds
subject: VARIETES
subject: ESPACES HYPERBOLIQUES
subject: SYMETRIE
subject: TESSELLATIONS
creator: KUIPER
source: M/89/48
publisher: IHES
date: 07/1989
format: A4
format: 20 f.
language: EN
type: TEXTE
type: PREPUBLICATION
coverage: 1989

Hyperbolic 4-manifolds and tesselations
subject: VARIETES
subject: ESPACES HYPERBOLIQUES
subject: TESSELLATIONS
creator: KUIPER
source: M/88/42
publisher: IHES
date: 08/1988
format: A4
format: 24 f.
language: EN
type: TEXTE
type: PREPUBLICATION
coverage: 1988

Hyperbolic manifolds and tesselations : variations on [G.L.T.]
subject: VARIETES
subject: ESPACES HYPERBOLIQUES
subject: TESSELLATIONS
creator: KUIPER
source: M/88/13
publisher: IHES
date: 03/1988
format: A4
format: 22 f.
language: EN
type: TEXTE
type: PREPUBLICATION
coverage: 1988

A New knot invariant
subject: THEORIE DES NŒUDS
subject: INVARIANTS
creator: KUIPER
source: M/86/37
publisher: IHES
date: 09/1986
relation: M/86/24
format: A4
format: 15 f.
language: EN
type: TEXTE
type: PREPUBLICATION
coverage: 1986

Bridge indices for torus knots
subject: THEORIE DES NŒUDS
subject: TORES
creator: KUIPER
source: M/86/24
publisher: IHES
date: 05/1986
relation: M/86/37
format: A4
format: 19 f.
language: EN
type: TEXTE
type: PREPUBLICATION
coverage: 1986

The Total curvature of a knotted torus
subject: TORE
subject: COURBES
subject: ESPACES D'EUCLIDE
creator: KUIPER
creator: MEEKS
source: M/84/36
publisher: IHES
date: 04/1984
format: A4
format: 13 f.
language: EN
type: TEXTE
type: PREPUBLICATION
coverage: 1984

Geometry in total absolute curvature theory
subject: GEOMETRIE
subject: COURBURE
subject: VARIETES
description: This is a (incomplete) report on geometrical results of the last twenty five years in the theory of total absolute curvature, in particular concerning its minimal value in certain classes of embeddings of manifolds.
creator: KUIPER
source: M/84/08
publisher: IHES
date: 03/1984
format: A4
format: 12 f.
language: EN
type: TEXTE
type: PREPUBLICATION
coverage: 1984

There is no Tight continuous immersion of the Klein bottle into R3
subject: THEORIE DES ENSEMBLES
subject: NOMBRES REELS
subject: SURFACES
description: The imbedding radius ?f and the roation number ? of an immersion of a Cech-circle into R2 are used to prove taht there is no tight immersion f of the Klein bottle into R3
creator: KUIPER
source: M/83/71
publisher: IHES
date: 11/1983
format: A4
format: 8 f.
language: EN
type: TEXTE
type: PREPUBLICATION
coverage: 1983

Total curvature for knotted surfaces
subject: COURBURE
subject: SURFACES NOUEES
subject: MATHEMATIQUES
creator: KUIPER
creator: MEEKS
source: M/83/37
publisher: IHES
date: 06/1983
format: A4
format: 37 f.
language: EN
type: TEXTE
type: PREPUBLICATION
coverage: 1983

Polynomial equations for tight surfaces
subject: EQUATIONS POLYNOMIALES
subject: SURFACES
subject: MATHEMATIQUES
creator: KUIPER
source: M/82/56
publisher: IHES
date: 09/1982
format: A4
format: 6 f.
language: EN
type: TEXTE
type: PREPUBLICATION
coverage: 1982

Geometrical class and degree for surfaces in three space
subject: GEOMETRIE DIFFERENTIELLE
subject: SURFACES MINIMALES
subject: THEORIE DES POINTS CRITIQUES
creator: KUIPER
creator: BANCHOFF
source: M/81/46
publisher: IHES
date: 09/1981
format: A4
format: 12 f.
language: EN
type: TEXTE
type: PREPUBLICATION
coverage: 1981

The Topology of linear Cm-flows on Cn
subject: TOPOLOGIE
subject: NOMBRES COMPLEXES
subject: THEORIE DES ENSEMBLES
creator: KUIPER
source: M/80/19
publisher: IHES
date: 05/1980
format: A4
format: 10 f.
language: EN
type: TEXTE
type: PREPUBLICATION
coverage: 1980

Tight embeddings and maps submanifolds of geometrical class three
subject: GEOMETRIE DIFFERENTIELLE
subject: ANALYSE
subject: ALGEBRE
subject: CALCULS NUMERIQUES
description: Differential geometry is a field in which geometry is expressed in analysis, algebra, and calculations, and in which analysis and calculations are sometimes understood in intuitive steps that could be called geometric.
creator: KUIPER
source: M/79/24
publisher: IHES
date: 09/1979
format: A4
format: 39 f.
language: EN
type: TEXTE
type: PREPUBLICATION
coverage: 1979

La Topologie des singularités hyperboliques des actions de R2
subject: GEOMETRIE ALGEBRIQUE
subject: SINGULARITES
subject: NOMBRES REELS
creator: KUIPER
source: M/78/244
publisher: IHES
date: 10/1978
format: A4
format: 21 f.
language: FR
type: TEXTE
type: PREPUBLICATION
coverage: 1978

A Short history of triangulation and related matters
subject: CONGRES ET CONFERENCES
subject: TRIANGULATION
subject: HISTOIRE
description: Conférence donnée au Congress of the Dutch Mathematical Society, Wiskindig Genoorschap, 1778-1978
creator: KUIPER
source: M/77/191
publisher: IHES
date: 10/1977
format: A4
format: 11 f.
language: EN
type: TEXTE
type: PREPUBLICATION
coverage: 1977

The Topology of holomorphic flows with singularity
subject: TOPOLOGIE
subject: FONCTIONS HOLOMORPHES
subject: SINGULARITES
creator: KUIPER
creator: PALIS
creator: CAMACHO
source: M/77/160
publisher: IHES
date: 01/1977
format: A4
format: 21 f.
language: EN
type: TEXTE
type: PREPUBLICATION
coverage: 1977

Topological conjuracy of real projective tranformations
subject: TRANSFORMATIONS
subject: PROJECTION
subject: GEOMETRIE
subject: TOPOLOGIE
creator: KUIPER
source: M/74/74
publisher: IHES
date: 02/1974
format: A4
format: 23 f.
language: EN
type: TEXTE
type: PREPUBLICATION
coverage: 1974

Stable surfaces in euclidean three space : Dedicated to Prof. W. Fenchel in Copenhagen
subject: GEOMETRIE EUCLIDIENNE
subject: SURFACES
subject: STABILITE
description: This paper consists of two related parts. In A we present smooth maps of the real projective plane P with the non euclidean metric ?, into euclidean spaces such that we can read various interesting properties from the image. We mention and indicate some proofs of known facts. This part is expository. In B we consider C?-stable (in the sense of R. Thom) maps of surfaces in E3. We call these "stable surfaces" for short. The Gauss curvature as a measure (? K d?) then exists although the scalar Gauss curvature K may explode at the C?-stable singularities. The infimum of the total absolute curvature (2?)–1 ? |K d?| of a compact surface M equals 4 – ?(M). This infimum can be reached for any surface in the class of stable maps, but not for all surfaces in the class of immersions, as we know. Stable surfaces of minimal total absolute curvature (tight) are given for the exceptions: the projective plane with 0 or 1 handles and the Klein-bottle. Recall that tight (closed) surfaces in EN are also characterized as those that are divided into at most two (connected) parts by any (hyper-)plane.
creator: KUIPER
source: M/74/14
publisher: IHES
date: 12/1974
format: A4
format: 21 f.
language: EN
type: TEXTE
type: PREPUBLICATION
coverage: 1974

The Topology of the solutions of a linear differential equation on Rn
subject: TOPOLOGIE
subject: EQUATIONS DIFFERENTIELLES LINEAIRES
creator: KUIPER
source: M/73/44
publisher: IHES
date: 03/1973
format: A4
format: 10 f.
language: EN
type: TEXTE
type: PREPUBLICATION
coverage: 1973

Topological classification of linear endomorphisms
subject: ALGEBRE LINEAIRE
subject: ENDOMORPHISMES
subject: TOPOLOGIE
subject: CLASSIFICATION
creator: KUIPER
creator: ROBBIN
source: M/72/18
publisher: IHES
date: [05/1972]
format: A4
format: 40 f.
language: EN
type: TEXTE
type: PREPUBLICATION
coverage: 1972