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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https://hal.archives-ouvertes.fr/hal-01710692
Contributor : Ricardo Pérez-Marco <>
Submitted on : Wednesday, May 23, 2018 - 2:04:43 PM
Last modification on : Wednesday, April 3, 2019 - 1:27:49 AM
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  • HAL Id : hal-01710692, version 2
  • ARXIV : 1802.06726

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Ricardo Pérez-Marco. ON QUASI-INVARIANT CURVES. 2018. ⟨hal-01710692v2⟩

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