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Analytic conjugation of diffeomorphisms in ${\Bbb T}^{n}$}

Published online by Cambridge University Press:  17 April 2001

JOSÉ ANTONIO CASTRO  and
ROBERTO MORIYÓN
JOSÉ ANTONIO CASTRO
Affiliation:
Department of Mathematics (Faculty of Sciences), Universidad Autónoma of Madrid, Ciudad Universitaria de Canto Blanco, 28049 Madrid, Spain
ROBERTO MORIYÓN
Affiliation:
Department of Mathematics (Faculty of Sciences), Universidad Autónoma of Madrid, Ciudad Universitaria de Canto Blanco, 28049 Madrid, Spain
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Abstract

We find analytic solutions $\varphi_{t}$ to the conjugation equation $$ f_{t} \circ \varphi_{t}=\varphi_{t} \circ f_{0}, $$ where $f_{t}$ and $\varphi_{t}$ are analytic diffeomorphisms from ${\Bbb T}^{n}$ to itself that depend analytically on $t$, and $f_{0}$ is an Anosov toral diffeomorphism with reduced spectrum and which is diagonalizable.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 17 , Issue 2 , April 1997 , pp. 313 - 330
Copyright
1997 Cambridge University Press

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