Fatou Coordinates for Parabolic Dynamics

DOI10.1007/978-3-319-20337-9_11zbMath1337.32006OpenAlexW2249394764MaRDI QIDQ2795635

Tetsuo Ueda

Publication date: 22 March 2016

Published in: Complex Geometry and Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-20337-9_11

zbMATH Keywords

Fatou coordinatesparabolic fixed pointspolynomial automorphisms of \(\mathbb C^2\)

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)

Cites Work

• Semi-parabolic bifurcations in complex dimension two
• Simultaneous linearization of holomorphic maps with hyperbolic and parabolic fixed points
• Local structure of analytic transformations of two complex variables. I
• Analytic classification of germs of conformal mappings \((C,O) \to (C,O)\) with identity linear part
• Complex Hénon mappings in \({\mathbb{C}}^ 2\) and Fatou-Bieberbach domains
• Local structure of analytic transformations of two complex variables. II
• Hénon mappings in the complex domain. I: The global topology of dynamical space
• Polynomial diffeomorphisms of \({\mathbb C}^2\): Currents, equilibrium measure and hyperbolicity
• Dynamical properties of plane polynomial automorphisms
• Implosion parabolique et dimension de Hausdorff
• Polynomial diffeomorphisms of C2: VII. Hyperbolicity and external rays
• Dynamics in One Complex Variable. (AM-160)
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