On the classes of Lipschitz and smooth conjugacies of unimodal maps

• Autorzy: Waldemar Pałuba
• Języki publikacji: EN

Abstrakty

EN

Under very mild assumptions, any Lipschitz continuous conjugacy between the closures of the postcritical sets of two C¹-unimodal maps has a derivative at the critical point, and also on a dense set of its preimages. In a more restrictive situation of infinitely renormalizable maps of bounded combinatorial type the Lipschitz condition automatically implies the C¹-smoothness of the conjugacy. Here the critical degree can be any real number α > 1.

Kategorie tematyczne

• 37C15: Topological and differentiable equivalence, conjugacy, invariants, moduli, classification

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2004
• Tom: 183
• Numer: 3
• Strony: 215-227

Daty

wydano

2004

Twórcy

autor

Waldemar Pałuba

• Institute of Mathematics, University of Warsaw, Banacha 2, 02-097 Warszawa, Poland

Identyfikatory

DOI

10.4064/fm183-3-2