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Mots-clés: MESTEL

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Existence and properties of p-tupling fixed points

https://repo-archives.ihes.fr/FONDS_IHES/I_Prepublications/EPSTEIN/Depuis_1964/P_00_25/P_00_25.pdf

Abstract : We prove the existence of fixed points of p-tupling renormalization operators for interval and circle mappings having a critical point of arbitrary real degree r > 1. Some properties of the resulting maps are studied: analyticity,…

Mots-clés: 2000, CARTOGRAPHIE, CAUCHY, CVITANOVIC, DENJOY, ECKMANN, EN, EPSTEIN, FEIGENBAUM, FRECHET, HERGLOTZ, LANFORD, LYUBICH, MARTENS, MESTEL, OSBALDESTIN, PICK, POINCARE, PREPUBLICATION, RENORMALISATION, SCHAUDER, SCHWARZ, THEOREME DU POINT FIXE, TIKHONOV, VALIRON, WITTWER, WOLFF, YAMPLOSKY

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

On the Existence of fixed points of the composition operator for circle maps

https://repo-archives.ihes.fr/FONDS_IHES/I_Prepublications/EPSTEIN/Depuis_1964/P_86_29/P_86_29.pdf

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…

Mots-clés: 1986, DYNAMIQUE, ECKMANN, EN, EPSTEIN, ERGLOTZ, FEIGENBAUM, FRECHET, HURWITZ, INFORMATIQUE QUANTIQUE, KADANOFF, LANFORD, LLAVE, MESTEL, NAUENBERG, OSTLUND, PHYSIQUE STATISTIQUE, PICK, PREPUBLICATION, RAND, RESEAUX CEREBRAUX, SCHAUDER, SCHWARZ, SETHNA, SHENKER, SIGGIA, SYSTEMES COMPLEXES, THEORIES NON LINEAIRES, TIKONOV, VITALI, WITTWER

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