Rigidity in holomorphic and quasiregular dynamics

DOI10.1090/S0002-9947-03-03160-XzbMath1094.30025OpenAlexW1494766783MaRDI QIDQ4419577

Volker Mayer, Gaven J. Martin

Publication date: 13 August 2003

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

Full work available at URL: https://doi.org/10.1090/s0002-9947-03-03160-x

zbMATH Keywords

Rigidityholomorphic dynamicsLattès mapquasiregular mapinvariant line fieldFatou's problem

Mathematics Subject Classification ID

Related Items (10)

Obstructions for automorphic quasiregular maps and Lattès-type uniformly quasiregular maps ⋮ Iteration of quasiregular mappings ⋮ Bubbling of quasiregular maps ⋮ Minimal Ahlfors regular conformal dimension of coarse expanding conformal dynamics on the sphere ⋮ Strongly automorphic mappings and Julia sets of uniformly quasiregular mappings ⋮ Application of Zalcman's lemma to complete dynamics ⋮ Extending rational maps ⋮ Absence of line fields and Mañé’s theorem for nonrecurrent transcendental functions ⋮ Examples of uniformly quasiregular mappings ⋮ Entropy in uniformly quasiregular dynamics

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