Parcourir les contenus · Archives de l'IHES

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

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

Lacunary series as quadratic differentials in conformal dynamics

https://repo-archives.ihes.fr/FONDS_IHES/I_Prepublications/SULLIVAN/1974-1995/M_93_37/M_93_37.pdf

Mots-clés: 1993, AHLFORS, BANACH, BELTRAMI, BERS, CANTOR, CARLESON, CAUCHY, EN, EPSTEIN, ESPACES DE BANACH, ESPACES DE TEICHMULLER, EUCLIDE, FUCHS, GARDINER, HOLDER, JAKSON, JULIA, KAHN, MOBIUS, MOSTOW, POINCARE, PREPUBLICATION, RIEMANN, SCHWARZ, SHISHIKURA, SULLIVAN, SYSTEMES DYNAMIQUES, TEICHMULLER, WEIERSTRASS, WEIL, ZYGMUND

Determinant bundles, Quillen metrics, and Mumford isomorphisms over the universal commensurability Teichmüller space

https://repo-archives.ihes.fr/FONDS_IHES/I_Prepublications/SULLIVAN/1974-1995/M_95_43/M_95_43.pdf

Abstract : A coherent, genus independent, equivariant construction of determinant line bundles, and connecting Mumford isomorphisms, is obtained over the inductive limie of the Teichmüller spaces of Riemann surfaces of varying genus. The direct…

Mots-clés: 1995, BALAVIN, BANACH, BISWAS, CONNES, DELIGNE, EN, ESPACES DE TEICHMULLER, GENDRON, GROTHENDIECK, HODGE, KAHLER, KNIZHNIK, KODAIRA, MARGULIS, MUMFORD, NAG, PETTERSON, PICARD, POINCARE, POLYAKOV, PREPUBLICATION, QUILLEN, RIEMANN, ROCH, SERRE, SPENCER, STEIN, SULLIVAN, SURFACES DE RIEMANN, TEICHMULLER, WEIL