Trees associated with the configuration of Herman rings

DOI10.1017/S0143385700005174zbMath0688.30019MaRDI QIDQ4206987

Mitsuhiro Shishikura

Publication date: 1989

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

zbMATH Keywords

rational functionmoduliHerman rings

Mathematics Subject Classification ID

Topological dynamics (37B99) Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05)

Related Items (12)

Julia sets of cubic rational maps with escaping critical points ⋮ On deformation space analogies between Kleinian reflection groups and antiholomorphic rational maps ⋮ On hyperbolic rational maps with finitely connected Fatou sets ⋮ On the configuration of Herman rings of meromorphic functions ⋮ A decomposition theorem for Herman maps ⋮ On the cycles of components of disconnected Julia sets ⋮ Examples of codification of the dynamics of arational function into a topological tree ⋮ Ribbon ℝ-trees and holomorphic dynamics on the unit disk ⋮ Limits of rational maps, \(\mathbb{R}\)-trees and barycentric extension ⋮ Herman rings with small periods and omitted values ⋮ Trees, length spectra for rational maps via barycentric extensions, and Berkovich spaces ⋮ On the formulas of meromorphic functions with periodic Herman rings

Cites Work

• Complex analytic dynamics on the Riemann sphere

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