scientific article; zbMATH DE number 2149751

zbMath1072.37036arXivmath/0310089MaRDI QIDQ4662266

Marco Abate

Publication date: 30 March 2005

Full work available at URL: https://arxiv.org/abs/math/0310089

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zbMATH Keywords

holomorphic mapsfixed-pointgermsdynamical classification

Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Iteration of holomorphic maps, fixed points of holomorphic maps and related problems for several complex variables (32H50) Research exposition (monographs, survey articles) pertaining to dynamical systems and ergodic theory (37-02)

Related Items (10)

Topological classification of holomorphic, semi-hyperbolic germs, in ``quasi-absence of resonances ⋮ Torus actions in the normalization problem ⋮ Holomorphic linearization of commuting germs of holomorphic maps ⋮ Quasi-parabolic analytic transformations of \(\mathbb C^n\) ⋮ Random local complex dynamics ⋮ Linearization of Hénon maps with resonant eigenvalues at an attracting fixed point ⋮ Open problems in local discrete holomorphic dynamics ⋮ Fatou-Bieberbach domains as basins of attraction of automorphisms tangent to the identity ⋮ Linearization of holomorphic germs with quasi-Brjuno fixed points ⋮ Further reductions of Poincaré-Dulac normal forms in ${\mathbf{C}}^{n+1}$

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