Conjugacies between rational maps and extremal quasiconformal maps

DOI10.1090/S0002-9939-01-05918-4zbMath1083.37517MaRDI QIDQ2718954

Guizhen Cui

Publication date: 14 May 2001

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

zbMATH Keywords

conjugacydilatationrational mapcombinatorial equivalenceextremal quasiconformal map

Mathematics Subject Classification ID

Related Items (2)

A characterization of hyperbolic rational maps ⋮ Hyperbolic-parabolic deformations of rational maps

Cites Work

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• Quasiconformal homeomorphisms and dynamics. I: Solution of the Fatou- Julia problem on wandering domains
• On quasiconformal mappings of open Riemann surfaces
• Lifts of extremal quasiconformal mappings of arbitrary Riemann surfaces
• Self-similarity of Siegel disks and Hausdorff dimension of Julia sets
• A proof of Thurston's topological characterization of rational functions
• On the dynamics of polynomial-like mappings
• Frontiers in complex dynamics

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