Diffeomorphisms Hölder conjugate to Anosov diffeomorphisms-Reference-Cited by-同舟云学术

Diffeomorphisms Hölder conjugate to Anosov diffeomorphisms

Published:2009-06-23 Issue:2 Volume:30 Page:441-456
ISSN:0143-3857
Container-title:Ergodic Theory and Dynamical Systems
language:en
Short-container-title:Ergod. Th. Dynam. Sys.

Author:

GOGOLEV ANDREY

Abstract

AbstractWe show by means of a counterexample that a C1+Lip diffeomorphism Hölder conjugate to an Anosov diffeomorphism is not necessarily Anosov. Also we include a result from the 2006 PhD thesis of Fisher: a C1+Lip diffeomorphism Hölder conjugate to an Anosov diffeomorphism is Anosov itself provided that Hölder exponents of the conjugacy and its inverse are sufficiently large.

Publisher

Cambridge University Press (CUP)

Subject

Applied Mathematics,General Mathematics

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