The escaping set of a quasiregular mapping

DOI10.1090/S0002-9939-08-09609-3zbMath1161.30008arXiv0802.0119MaRDI QIDQ3605020

Janis Meyer, Walter Bergweiler, Alastair Fletcher, James K. Langley

Publication date: 25 February 2009

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0802.0119

zbMATH Keywords

quasimeromorphic functionescaping setK-quasiregular mapping

Mathematics Subject Classification ID

Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Quasiconformal mappings in the complex plane (30C62)

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Iteration of quasiregular tangent functions in three dimensions ⋮ Slow escaping points of quasiregular mappings ⋮ Permutable quasiregular maps ⋮ Iteration of quasiregular mappings ⋮ The fast escaping set for quasiregular mappings ⋮ Foundations for an iteration theory of entire quasiregular maps ⋮ Quasiregular mappings of polynomial type in ℝ² ⋮ Fatou–Julia theory for non-uniformly quasiregular maps ⋮ Wandering domains in quasiregular dynamics ⋮ Escaping sets of continuous functions ⋮ The Julia set and the fast escaping set of a quasiregular mapping ⋮ Hollow quasi-Fatou components of quasiregular maps ⋮ Superattracting fixed points of quasiregular mappings ⋮ Quasiregular dynamics on the n-sphere ⋮ On slow escaping and non-escaping points of quasimeromorphic mappings ⋮ The dynamics of quasiregular maps of punctured space ⋮ Julia sets of uniformly quasiregular mappings are uniformly perfect ⋮ Chaotic dynamics of a quasiregular sine mapping ⋮ Poincaré linearizers in higher dimensions

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