On quasi-invariant curves
Copyright policy )On quasi-invariant curves
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.
arXiv admin note: text overlap with arXiv:1802.03630
- Sorbonne University France
- University of Paris France
- UNIVERSITE PARIS DESCARTES France
- Centre national de la recherche scientifique France
- Institut de Mathématiques de Jussieu France
Mathematics - Complex Variables, [MATH.MATH-CV] Mathematics [math]/Complex Variables [math.CV], FOS: Mathematics, [MATH.MATH-DS] Mathematics [math]/Dynamical Systems [math.DS], Dynamical Systems (math.DS), Mathematics - Dynamical Systems, Complex Variables (math.CV)
Mathematics - Complex Variables, [MATH.MATH-CV] Mathematics [math]/Complex Variables [math.CV], FOS: Mathematics, [MATH.MATH-DS] Mathematics [math]/Dynamical Systems [math.DS], Dynamical Systems (math.DS), Mathematics - Dynamical Systems, Complex Variables (math.CV)
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