Chirurgie parabolique

DOI10.1016/S0764-4442(98)80088-8zbMath0915.30024OpenAlexW4245657234MaRDI QIDQ4223861

Peter Haïssinsky

Publication date: 7 March 1999

Published in: Comptes Rendus de l'Académie des Sciences - Series I - Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0764-4442(98)80088-8

zbMATH Keywords

iterationfixed pointconjugacycritical pointJulia setpolynomial

Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Dynamical systems over complex numbers (37F99)

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Extension of boundary homeomorphisms to mappings of finite distortion ⋮ Planar mappings of finite distortion ⋮ Metric definition of \(\mu\)-homeomorphisms. ⋮ On critical renormalization of complex polynomials ⋮ Geometrically finite transcendental entire functions ⋮ Bi-Sobolev extensions ⋮ Chirurgie croisée ⋮ A note to “Mappings of finite distortion: formation of cusps II” ⋮ Newton maps of complex exponential functions and parabolic surgery ⋮ Carrots for dessert ⋮ Hyperbolic-parabolic deformations of rational maps ⋮ Combinatorics and topology of straightening maps. I: Compactness and bijectivity ⋮ Mating the Basilica with a Siegel disk ⋮ Pinching holomorphic correspondences ⋮ A continuity result on quadratic matings with respect to parameters of odd denominator rationals ⋮ A characterization of postcritically minimal Newton maps of complex exponential functions ⋮ Monotonicity of entropy for real multimodal maps ⋮ Mating Siegel quadratic polynomials

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