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Rigidity of centralizers of real analytic diffeomorphisms

Published online by Cambridge University Press:  19 September 2008

Jorge Rocha
Jorge Rocha
Affiliation:
Departamento de Matemática, Fac. Ciências do Porto, Praça Gomes Teixeira, 4000 Porto, Portugal
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Abstract

We define a topology, denoted by Cω, on the space of real analytic diffeomorphisms and show that the elements of a residual (Baire second category) subset of diffeomorphisms that satisfy Axiom A and the Transversality Condition have a trivial centralizer; they only commute with their integer powers.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 13 , Issue 1 , March 1993 , pp. 175 - 197
Copyright
Copyright © Cambridge University Press 1993

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