Hyperbolic entire functions with full hyperbolic dimension and approximation by Eremenko-Lyubich functions

DOI10.1112/plms/pdt048zbMath1295.30060arXiv1106.3439OpenAlexW2060053175MaRDI QIDQ4979771

Lasse Rempe-Gillen

Publication date: 19 June 2014

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

Full work available at URL: https://arxiv.org/abs/1106.3439

zbMATH Keywords

iterationJulia setHausdorff dimensionFatou setEremenko-Lyubich class

Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10)

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About Rays, Dreadlocks and Periodic Points in Transcendental Dynamics ⋮ A lower bound of the hyperbolic dimension for meromorphic functions having a logarithmic Hölder tract ⋮ Nowhere differentiable hairs for entire maps ⋮ Models for the Eremenko–Lyubich class ⋮ Micromeasure distributions and applications for conformally generated fractals ⋮ On hyperbolic dimension gap for entire functions ⋮ Escape rate and Hausdorff measure 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 ⋮ Dynamics in the Eremenko-Lyubich class ⋮ Random non-hyperbolic exponential maps ⋮ Criniferous entire maps with absorbing Cantor bouquets ⋮ Variations on a theme of Hardy concerning the maximum modulus ⋮ Constructing entire functions by quasiconformal folding ⋮ Thermodynamic Formalism and Geometric Applications for Transcendental Meromorphic and Entire Functions

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