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Mots-clés: COULLET

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Bounds, quadratic differentials and renormalization conjectures

https://repo-archives.ihes.fr/FONDS_IHES/I_Prepublications/SULLIVAN/1974-1995/M_91_25/M_91_25.pdf

Abstract : In the context of smooth folding mappings we verifie certain conjecture by showing bounded return time renormalization is topologically hyperbolic and find the stable and unstable manifolds. The main consequence is the asymptotic geometric…

Mots-clés: 1991, ANALYSE VECTORIELLE, BELTRAMI, BLOHK, CAMPANINO, CANTOR, CARLESON, COULLET, DE MELO, DENJOY, DOUADY, EN, EPSTEIN, EUCLIDE, FEIGENBAUM, GROTZSCH, GUCKENHEIMER, HAUSDORF, HERMANN, HOLDER, HUBBARD, JAKOBSON, JOHNSON, JULIA, KOEBE, LANFORD, LIPSCHITZ, LYUBICH, MANDELBROT, MARKOV, MARTENS, MCMULLEN, MILNOR, PALUBA, PHYSIQUE, POINCARE, PREPUBLICATION, REICH, RENORMALISATION, RIEMANN, RUELLE, SCWARZ, SHARKOVSKI, STREBEL, SULLIVAN, SWIATEK, TEICHMULLER, TESSER, THEOREME DU POINT FIXE, THURSTON, VAN STRIEN, YOCCOZ, ZYGMUND

On the Structure of infinitely many dynamical systems nested inside or outside a given one

https://repo-archives.ihes.fr/FONDS_IHES/I_Prepublications/SULLIVAN/1974-1995/M_90_75/M_90_75.pdf

Abstract : In the content of smooth folding mappings we show bounded return time renormalization is topologically hyperbolic and find the stable and unstable manifolds. The main consequence is the asymptotic geometric rigidity of the Cantor sets…

Mots-clés: 1990, BELTRAMI, CANTOR, COLLET, COULLET, CVITANOVIC, DE FARIA, DE MELO, DENJOY, DOUADY, ECKMANN, EN, EPSTEIN, FEIGENBAUM, GROTSCH, GUCKENHEIMER, HAMILTON, HAUSDORF, HERMAN, HOLDER, HUBBARD, JIANG, JULIA, KLEIN, KOEBE, LANFORD, LASCOUX, LIPSCHITZ, MC MULLEN, MCMULLEN, MILNOR, PALUBA, PHYSIQUE, POINCARE, PREPUBLICATION, RAND, RENORMALISATION, RIEMANN, SCHWARZ, SHARKOVSKI, SHUB, SULLIVAN, SWIATEK, SYSTEMES DYNAMIQUES, TANGERMMAN, TEICHMULLER, TESSER, THURSTON, TRESSER, VAN STRIEN, YOCCOZ, ZYGMUND

Fixed points of composition operators II

https://repo-archives.ihes.fr/FONDS_IHES/I_Prepublications/EPSTEIN/Depuis_1964/P_88_21/P_88_21.pdf

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.

Mots-clés: 1988, COULLET, CVITANOVIC, EN, EPSTEIN, FEIGENBAUM, FRECHET, HERGLOTZ, KADANOFF, OPERATEURS DE COMPOSITION, OSTLUND, PREPUBLICATION, RAND, SCHWARZ, SETHNA, SHENKER, SIGGIA, THEOREME DU POINT FIXE, THEORIE DES POINTS CRITIQUES, TOPOLOGIE, TRESSER, VITALI

Fixed points of composition operators

https://repo-archives.ihes.fr/FONDS_IHES/I_Prepublications/EPSTEIN/Depuis_1964/P_87_36/P_87_36.pdf

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…

Mots-clés: 1987, ANILE, CAMPANINO, CAUCHY, COLLET, COULLET, CVITANOVIC, DE LA LLAVE, DOUADY, ECKMANN, EN, EPSTEIN, FACOLINI, FEIGENBAUM, FRECHET, GALLAVOTTI, HERGLOTZ, HUBBARD, HURWITZ, JONKER, JULIA, KADANOFF, LANFORD, MESTEL, OPERATEURS DE COMPOSITION, OSTLUND, POINCARE, PREPUBLICATION, RAND, RUELLE, SCHAUDER, SCHWARZ, SETHNA, SHENKER, SIGGIA, SULLIVAN, THEOREME DU POINT FIXE, TIKHONOV, TOPOLOGIE, TRESSER, VITALI, WITTWER, ZWEIFEL

Analyticity properties of the Feigenbaum function

https://repo-archives.ihes.fr/FONDS_IHES/I_Prepublications/EPSTEIN/Depuis_1964/P_81_27/P_81_27.pdf

Absract : Analyticity properties of the Feigenbaum function [a solution ofg(x)=???1g(g(?x)) withg(0)=1,g?(0)=0,g?(0)

Mots-clés: 1981, CAMPANINO, COULLET, CVITANOVIC, DENJOY, DYNAMIQUE, EN, EPSTEIN, FEIGENBAUM, HERGLOTZ, HURWITZ, INFORMATIQUE QUANTIQUE, LANFORD, LASCOUX, PADE, PHYSIQUE STATISTIQUE, PREPUBLICATION, RESEAUX CEREBRAUX, RIEMANN, RUDIN, RUELLE, SCHWARZ, SYSTEMES COMPLEXES, THEORIES NON LINEAIRES, TRESSER, VALIRON, VITALI, WOLFF

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