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  • Mots-clés: EPSTEIN

https://repo-archives.ihes.fr/FONDS_IHES/I_Prepublications/EPSTEIN/Depuis_1964/P_79_255/P_79_255.pdf
Abstract : We show that in the ?{2/4} theory, the physical mass and the two-body S-matrix are Borel summable in the coupling constant ? at ?=0.

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…

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,…

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…

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.

https://repo-archives.ihes.fr/FONDS_IHES/I_Prepublications/EPSTEIN/Depuis_1964/P_85_55/P_85_55.pdf
Abstract : A new proof of the existence of analytic, unimodal soutions of the Cvitanovic-Feigenbaum functional equation ?g (x) = -g(g-?x)), g(x) ? 1-const. |x| r at 0, walid for all ? in (0,1), is given, and the existence of the Eckmann-Wittwer…

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