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Author Gogolev, Andrey
Source arXiv.org
Content type Text
File Format PDF
Date of Submission 2008-09-02
Language English
Subject Domain (in DDC) Natural sciences & mathematics ♦ Mathematics
Subject Keyword Mathematics - Dynamical Systems ♦ 37D25 ♦ 37D20 ♦ math
Abstract We show by means of a counterexample that a $C^{1+Lip}$ diffeomorphism Holder conjugate to an Anosov diffeomorphism is not necessarily Anosov. The counterexample can bear higher smoothness up to $C^3$. Also we include a result from the 2006 Ph.D. thesis of T. Fisher: a $C^{1+Lip}$ diffeomorphism Holder conjugate to an Anosov diffeomorphism is Anosov itself provided that Holder exponents of the conjugacy and its inverse are sufficiently large.
Educational Use Research
Learning Resource Type Thesis
Page Count 15


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