FATOU–BIEBERBACH DOMAINS

DOI10.1142/S0129167X05003235zbMath1085.32008arXivmath/0410212OpenAlexW2963690717MaRDI QIDQ5711116

Erlend Fornæss Wold

Publication date: 9 December 2005

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0410212

zbMATH Keywords

holomorphic mapsbasin of attractionautomorphismsiterationsFatou-Bieberbach domains

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables (32H02) Iteration of holomorphic maps, fixed points of holomorphic maps and related problems for several complex variables (32H50)

Related Items

Examples of non-autonomous basins of attraction-II, Adaptive trains for attracting sequences of holomorphic automorphisms, Chains of holomorphic contractions and Fatou-Bieberbach domains, Abstract Basins of Attraction, A long \(\mathbb C^2\) which is not Stein, The first thirty years of Andersén-Lempert theory, Perturbed basins of attraction, Holomorphic families of nonequivalent embeddings and of holomorphic group actions on affine space, Oka properties of complements of holomorphically convex sets, Dynamics of transcendental Hénon maps, Proper holomorphic embeddings into Stein manifolds with the density property, Some aspects of shift-like automorphisms of \(\mathbb {C}^k\), Fatou-Bieberbach domains as basins of attraction of automorphisms tangent to the identity, The ball embedding property of the open unit disc, EMBEDDING RIEMANN SURFACES PROPERLY INTO ℂ², Proper holomorphic embeddings of finitely and some infinitely connected subsets of \(\mathbb C\) into \(\mathbb C^2\)

Cites Work

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• The local maximum modulus principle
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• Some open problems in higher dimensional complex analysis and complex dynamics
• An embedding of \(\mathbb C\) in \(\mathbb C^2\) with hyperbolic complement
• Michael’s problem and the Poincaré-Fatou-Bieberbach phenomenon