Fatou Flowers and Parabolic Curves

DOI10.1007/978-4-431-55744-9_1zbMath1326.32002arXiv1501.02176OpenAlexW1770018044MaRDI QIDQ3448897

Marco Abate

Publication date: 27 October 2015

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1501.02176

zbMATH Keywords

parabolic pointsparabolic curvesFatou flowersgerms tangent to the identitylocal holomorphic dynamical systems

Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Research exposition (monographs, survey articles) pertaining to several complex variables and analytic spaces (32-02) Iteration of holomorphic maps, fixed points of holomorphic maps and related problems for several complex variables (32H50) Dynamical systems over complex numbers (37F99)

Related Items (8)

A note on attracting domains for holomorphic maps in ℂ2 tangent to the identity ⋮ Characteristic directions of two-dimensional biholomorphisms ⋮ A Poincaré-Bendixson theorem for meromorphic connections on Riemann surfaces ⋮ Gevrey estimates for one dimensional parabolic invariant manifolds of non-hyperbolic fixed points ⋮ Parabolic implosion for endomorphisms of \(\mathbb C^2\) ⋮ Invariant manifolds of parabolic fixed points. I: Existence and dependence on parameters ⋮ Invariant manifolds of parabolic fixed points. II: Approximations by sums of homogeneous functions ⋮ Dynamics of generic endomorphisms of Oka-Stein manifolds

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