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Journal Articles Asterisque Year : 2020

On quasi-invariant curves

Abstract

Quasi-invariant curves are used in the study of hedgehog dynamics. Denjoy-Yoccoz lemma is the preliminary step for Yoccoz's complex renormalization techniques for the study of linearization of analytic circle diffeomorphisms. We give a geometric interpretation of Denjoy-Yoccoz lemma using the hyperbolic metric that gives a direct construction of quasi-invariant curves without renormalization.
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Dates and versions

hal-01710692 , version 1 (16-02-2018)
hal-01710692 , version 2 (23-05-2018)

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Ricardo Pérez-Marco. On quasi-invariant curves. Asterisque, 2020. ⟨hal-01710692v2⟩
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