Rigidity of $C^2$ infinitely renormalizable unimodal maps.

• Type: Article in International Scientific Journal
• Date: 1999

Authors

W. de Melo (Author) Other; A. A. Pinto (Author) FCUP

Journal

Title: Communications in Mathematical Physics

Vol. 208

Pages: 91-105

ISSN: 0010-3616

Publisher: Springer Nature

Scientific classification

FOS: Natural sciences > Mathematics

Other information

Resumo (PT): Given C^2 infinitely renormalizable unimodal maps f and g with a quadratic critical point and the same bounded combinatorial type, we prove that they are C^{1+α} conjugate along the closure of the corresponding forward orbits of the critical points, for some α>0.

Abstract (EN): Given C^2 infinitely renormalizable unimodal maps f and g with a quadratic critical point and the same bounded combinatorial type, we prove that they are C^{1+α} conjugate along the closure of the corresponding forward orbits of the critical points, for some α>0.

Language: English

Type (Professor's evaluation): Scientific