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

Sullivan, Dennis

SULLIVAN

09/1990

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.

SYSTEMES DYNAMIQUES

M/90/75

©IHES

Citer ce document

SULLIVAN, “On the Structure of infinitely many dynamical systems nested inside or outside a given one,” Archives de l'IHES, consulté le 20 mai 2024, https://omeka.ihes.fr/document/M_90_75.pdf.