The fast escaping set for quasiregular mappings

DOI10.1007/s13324-014-0078-9zbMath1347.37085arXiv1308.2860OpenAlexW3104662793MaRDI QIDQ461367

Alastair Fletcher, David Drasin, Walter Bergweiler

Publication date: 10 October 2014

Published in: Analysis and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1308.2860

zbMATH Keywords

periodic pointsholomorphic mappingsconvex domainsquasiregular mappingsfast escaping settranscendental type

Mathematics Subject Classification ID

Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65) 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)

Related Items (14)

Extended escaping set for meromorphic functions outside a countable set of transcendental singularities ⋮ On Julia limiting directions in higher dimensions ⋮ The size and topology of quasi-Fatou components of quasiregular maps ⋮ Periodic domains of quasiregular maps ⋮ Slow escaping points of quasiregular mappings ⋮ Permutable quasiregular maps ⋮ Spiders' webs of doughnuts ⋮ 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 ⋮ On slow escaping and non-escaping points of quasimeromorphic mappings ⋮ The dynamics of quasiregular maps of punctured space ⋮ Fatou’s web ⋮ Poincaré linearizers in higher dimensions

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