Covariant vector fields and renormalization groups
GROUPE DE RENORMALISATION
CHAMPS VECTORIELS
ANALYSE DE COVARIANCE
Invited lecture given at th XIIIth international Colloquium on group theoretical methods on Physics
MICHEL
P/84/43
IHES
09/1984
A4
13 f.
EN
TEXTE
PREPUBLICATION
P_84_43.pdf
1984
Circle mappings
CONFERENCES ET CONGRES
CERCLE
CARTOGRAPHIE
SYSTEMES DYNAMIQUES
GROUPE DE RENORMALISATION
LANFORD
P/87/15
IHES
05/1985
A4
7 f.
EN
TEXTE
PREPUBLICATION
P_87_15.pdf
1987
Some Recent rigorous results in the theory of phase transitions and critical phenomena
TRANSITIONS DE PHASES
PHENOMENES CRITIQUES
THEORIE QUANTIQUE DES CHAMPS
GROUPE DE RENORMALISATION
MODELE D'ISING
FROHLICH
SPENCER
P/82/23
IHES
1982
A4
22 f.
EN
TEXTE
PREPUBLICATION
P_82_23.pdf
1982
1- Spontaneously broken and dynamically enhanced global and local-symmetries
2 - Continuum (scaling) limits of lattice fields theories (triviality of lg q in d 1=y4 dimensions
3 -Results and problems near the interface between statistical mechanics and quantum field theory
SYMETRIE BRISEE
THEORIE DES CHAMPS
METRIQUE
MECANIQUE STATISTIQUE
THEORIE QUANTIQUE DES CHAMPS
FROHLICH
P/81/56
IHES
1981
A4
26 f.
EN
TEXTE
PREPUBLICATION
P_81_56.pdf
1981
Lectures on Yang-Mills theory
THEORIE DE YANG-MILLS
CONGRES ET CONFERENCES
CHAMPS DE JAUGE
FROHLICH
P/80/01
IHES
1980
A4
47 f.
EN
TEXTE
PREPUBLICATION
P_80_01.pdf
1980
Confinement in Zn lattice Gauge theories implies confinement un SU(n) lattice Higgs theories : a New look at generalized, non-linear ?-models and Yang-Mills theory
THEORIES DES JAUGES
QUARKS
CHAMPS SCALAIRES
THEORIE DE YANG-MILLS
FROHLICH
P/79/02
IHES
02/1979
A4
15 f.
EN
TEXTE
PREPUBLICATION
P_79_02.pdf
1979
Fixed points of composition operators II
TOPOLOGIE
THEOREME DU POINT FIXE
OPERATEURS DE COMPOSITION
THEORIE DES POINTS CRITIQUES
Abstract : Analytic unicritical fixed points of composition operators of Feigenbaum's type for inteval and circle maps are shown to exist for every value of r > 1, where r is the order of the critical point.
EPSTEIN
P/88/21
IHES
04/1988
A4
5 f.
EN
TEXTE
PREPUBLICATION
P_88_21.pdf
1988
Fixed points of composition operators
TOPOLOGIE
THEOREME DU POINT FIXE
OPERATEURS DE COMPOSITION
Abstract : This extended version of lectures given at eht NATO advanced Study Institute on Non-Linear Evolution and Chaotic Phenomena held in June 1987 in Noto (Italy), and directed by G. Gallovotti, A. M. Anile and P. Zweifel, will appear in the proceedings of that institute. It gives a review of the proofs of the existence of fixed points of composition operators (of Feigenbaum's type) for interval and circle maps obtained by J.-P. Eckmann and the author [E], [EE]. In addition, the fixed-r method is shown to word for all r > 1 in the case of the interval (r characterizez the order of the critical point of solutions) ; the solutions are shown to have inverses univalent in the upper and lower half-planes, and, in the case of the interval, for even integer r, to be polynomial-like in the sense of Douady and Hubbard [DH].
EPSTEIN
P/87/36
IHES
09-1987
A4
17 f.
EN
TEXTE
PREPUBLICATION
P_87_36.pdf
1987
On the Existence of fixed points of the composition operator for circle maps
RESEAUX CEREBRAUX
PHYSIQUE STATISTIQUE
SYSTEMES COMPLEXES
THEORIES NON LINEAIRES
DYNAMIQUE
INFORMATIQUE QUANTIQUE
Abstract : In the theory of circle maps with golden ratio rotation number formulated by Feigenbaum, Kadanoff, and Shenker [FKS], and by Ostlund, Rand, Sethna, and Siggia [ORSS], a central role is played by fixed points of a certain composition operator in map space. We define a common setting for the problem of proving the existence of these fixed points and of those occurring in the theory of maps of the interval. We give a proof of the existence of the fixed points for a wide range of the parameters on which they depend.
EPSTEIN
ECKMANN
P/86/29
IHES
05/1986
A4
13 f.
EN
TEXTE
PREPUBLICATION
P_86_29.pdf
1986