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

Epstein, Henri

EPSTEIN

03/2000

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, univalence, behavior as r tends to infinity.

RENORMALISATION

P/00/25

©IHES

Citer ce document

EPSTEIN, “Existence and properties of p-tupling fixed points,” Archives de l'IHES, consulté le 24 mai 2024, https://omeka.ihes.fr/document/P_00_25.pdf.