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Journal articles

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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Contributor : Ricardo Pérez-Marco Connect in order to contact the contributor
Submitted on : Wednesday, May 23, 2018 - 2:04:43 PM
Last modification on : Sunday, June 26, 2022 - 9:40:36 AM
Long-term archiving on: : Friday, August 24, 2018 - 3:52:12 PM


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  • HAL Id : hal-01710692, version 2
  • ARXIV : 1802.06726


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



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