Models for the Speiser class

DOI10.1112/plms.12025zbMath1381.30020OpenAlexW2588941019MaRDI QIDQ5359063

Christopher J. Bishop

Publication date: 22 September 2017

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

Full work available at URL: https://doi.org/10.1112/plms.12025

zbMATH Keywords

critical valueentire functionssingular valueasymptotic valueSpeiser classEremenko-Lyubich class

Mathematics Subject Classification ID

Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Quasiconformal mappings in the complex plane (30C62) Special classes of entire functions of one complex variable and growth estimates (30D15)

Related Items (15)

Hausdorff dimension of escaping sets of meromorphic functions II ⋮ A lower bound of the hyperbolic dimension for meromorphic functions having a logarithmic Hölder tract ⋮ A transcendental Julia set of dimension 1 ⋮ Models for the Eremenko–Lyubich class ⋮ Speiser meets Misiurewicz ⋮ On hyperbolic dimension gap for entire functions ⋮ Thermodynamic formalism and integral means spectrum of logarithmic tracts for transcendental entire functions ⋮ The failure of Ruelle's property for entire functions ⋮ Speiser class Julia sets with dimension near one ⋮ Quasiconformal surgery and linear differential equations ⋮ Dynamics in the Eremenko-Lyubich class ⋮ Prescribing the postsingular dynamics of meromorphic functions ⋮ Hausdorff dimension of escaping sets of meromorphic functions ⋮ Constructing entire functions by quasiconformal folding ⋮ The Hausdorff dimension of Julia sets of meromorphic functions in the Speiser class

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