Explosion of smoothness for conjugacies between multimodal maps

• Type: Article in International Scientific Journal
• Date: 2014

Authors

Jose F Alves (Author) FCUP; Vilton Pinheiro (Author) Other; Alberto A Pinto (Author) FCUP

Journal

Title: Journal of the London Mathematical Society

Vol. 89

Pages: 255-274

ISSN: 0024-6107

Publisher: Wiley-Blackwell

Indexing

ISI Web of Knowledge - 2 Citations

Scopus - 2 Citations

Scientific classification

FOS: Natural sciences > Mathematics

Other information

Authenticus ID: P-009-65M

DOI: 10.1112/jlms/jdt055

Abstract (EN): Let f and g be smooth multimodal maps with no periodic attractors and no neutral points. If a topological conjugacy h between f and g is C-1 at a point in the nearby expanding set of f, then h is a smooth diffeomorphism in the basin of attraction of a renormalization interval of f. In particular, if f:I -> I and g : J -> J are C-r unimodal maps and h is C-1 at a boundary of I, then h is C-r in I.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 20