Automorphisms of \(\mathbb C^k\) with an invariant non-recurrent attracting Fatou component biholomorphic to \(\mathbb C \times (\mathbb C^\ast)^{k-1}\)

DOI10.4171/JEMS/1019zbMath1469.37036arXiv1703.08423OpenAlexW3027361962MaRDI QIDQ2659443

Filippo Bracci, Jasmin Raissy, Berit Stensones Henriksen

Publication date: 26 March 2021

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.08423

zbMATH Keywords

hyperbolic distanceholomorphic dynamicsFatou setsRunge domains

Mathematics Subject Classification ID

Small divisors, rotation domains and linearization in holomorphic dynamics (37F50) Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables (32H02) Other generalizations of function theory of one complex variable (32A30) Normal families of holomorphic functions, mappings of several complex variables, and related topics (taut manifolds etc.) (32A19) Higher-dimensional holomorphic and meromorphic dynamics (37F80)

Related Items (7)

Invariant escaping Fatou components with two rank-one limit functions for automorphisms of ⋮ The first thirty years of Andersén-Lempert theory ⋮ Small divisors in discrete local holomorphic dynamics ⋮ A transcendental Hénon map with an oscillating wandering short \(\mathbb{C}^2\) ⋮ Automorphisms of \(\mathbb{C}^2\) with parabolic cylinders ⋮ Periodic cycles of attracting Fatou components of type \(\mathbb{C}\times(\mathbb{C}^*)^{d-1}\) in automorphisms of \(\mathbb{C}^d\) ⋮ Runge tubes in Stein manifolds with the density property

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