scientific article; zbMATH DE number 1460705

DOI10.1090/S1088-4173-00-00057-6zbMath0954.30012OpenAlexW1938166465MaRDI QIDQ4485787

Walter Bergweiler

Publication date: 18 June 2000

Published in: Conformal Geometry and Dynamics of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s1088-4173-00-00057-6

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Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Covering theorems in conformal mapping theory (30C25)

Related Items (13)

On the set where the iterates of an entire function are bounded ⋮ Bowen’s formula for meromorphic functions ⋮ Dynamics of transcendental Hénon maps. III: Infinite entropy ⋮ Iteration of quasiregular mappings ⋮ Picard-type theorem and curvature estimate on an open Riemann surface with ramification ⋮ Entropy of transcendental entire functions ⋮ Value distribution for the Gauss maps of various classes of surfaces ⋮ Density of repelling fixed points in the Julia set of a rational or entire semigroup ⋮ Residual Julia set for functions with the Ahlfors' Property ⋮ Rescaling principle for isolated essential singularities of quasiregular mappings ⋮ Bloch's principle ⋮ Unnamed Item ⋮ A ramification theorem for the ratio of canonical forms of flat surfaces in hyperbolic three-space

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