Rigidity and Expansion for Rational Maps

DOI10.1112/S0024610700001563zbMath1106.37305OpenAlexW2128723940MaRDI QIDQ3150985

Peter Haïssinsky

Publication date: 22 October 2002

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

Full work available at URL: https://doi.org/10.1112/s0024610700001563

zbMATH Keywords

quasiconformal mapsinvariant line fieldsbounded distortion propertiestopological Collet-Eckmann maps

Mathematics Subject Classification ID

Expanding holomorphic maps; hyperbolicity; structural stability of holomorphic dynamical systems (37F15)

Related Items (13)

Nonsmooth calculus ⋮ No invariant line fields on Cantor Julia sets ⋮ Rigidity of non-renormalizable Newton maps ⋮ On the dimensions of Cantor Julia sets of rational maps ⋮ On the structure of Fatou domains ⋮ Tessellation and Lyubich–Minsky laminations associated with quadratic maps, II: Topological structures of 3-laminations ⋮ Rigidity and absence of line fields for meromorphic and Ahlfors islands maps ⋮ Application of Zalcman's lemma to complete dynamics ⋮ Rigidity for rational maps with Cantor Julia sets ⋮ Combinatorial rigidity of unicritical maps ⋮ Rigidity in holomorphic and quasiregular dynamics ⋮ Pinching holomorphic correspondences ⋮ Density of hyperbolicity for classes of real transcendental entire functions and circle maps

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