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

Auteur(e.s) : SULLIVAN

Date : 09/1990

Description : 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 defined by the critical orbits. We use the Teichmüller Contraction Principle to prove renormalization contraction in a space of holomorphic dynamical systems that contains the limit set of renormalization.

Sujet(s) : SYSTEMES DYNAMIQUES

Source : M/90/75

©IHES

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

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SULLIVAN, “On the Structure of infinitely many dynamical systems nested inside or outside a given one,” Archives de l'IHES, consulté le 1 décembre 2024, https://omeka.ihes.fr/document/M_90_75.pdf.

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

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