Singularities of Schröder maps and unhyperbolicity of rational functions

DOI10.1007/BF03321689zbMath1153.37381arXiv0704.3309MaRDI QIDQ934547

Yûsuke Okuyama, David Drasin

Publication date: 29 July 2008

Published in: Computational Methods and Function Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0704.3309

zbMATH Keywords

Nevanlinna theorycomplex dynamicsFatou conjecturePommerenke-Levin-Yoccoz inequalitySchröder maptranscendental singularityunhyperbolicity

Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Expanding holomorphic maps; hyperbolicity; structural stability of holomorphic dynamical systems (37F15) Value distribution of meromorphic functions of one complex variable, Nevanlinna theory (30D35) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10)

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Thermodynamic formalism and integral means spectrum of logarithmic tracts for transcendental entire functions, Semiconjugacies, pinched Cantor bouquets and hyperbolic orbifolds, Poincaré functions with spiders’ webs

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