The differentiability of the conjugation of certain diffeomorphisms of the circle-Reference-Cited by-同舟云学术

The differentiability of the conjugation of certain diffeomorphisms of the circle

Published:1989-12 Issue:4 Volume:9 Page:643-680
ISSN:0143-3857
Container-title:Ergodic Theory and Dynamical Systems
language:en
Short-container-title:Ergod. Th. Dynam. Sys.

Author:

Katznelson Y.,Ornstein D.

Abstract

AbstractOur purpose in this paper is to present a more or less complete solution to the problem of the smoothness of the conjugation of aperiodic diffeomorphisms of the circle. We show that the rotation number and the smoothness of the diffeomorphism guarantee a certain smoothness for the homeomorphism which conjugates it with a rigid rotation, and obtain the best smoothness that can be guaranteed.

Publisher

Cambridge University Press (CUP)

Subject

Applied Mathematics,General Mathematics

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