Entire functions with Julia sets of positive measure

DOI10.1007/s00208-010-0625-0zbMath1243.37038arXiv0904.1295OpenAlexW3103274371WikidataQ122194572 ScholiaQ122194572MaRDI QIDQ661308

Magnus Aspenberg, Walter Bergweiler

Publication date: 10 February 2012

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0904.1295

zbMATH Keywords

entire functionJulia setLebesgue measure

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) Special classes of entire functions of one complex variable and growth estimates (30D15)

Related Items (10)

Hausdorff Dimension of Escaping Sets of Nevanlinna Functions ⋮ Speiser meets Misiurewicz ⋮ Lyapunov exponents and related concepts for entire functions ⋮ Exponential polynomials with Fatou and non-escaping sets of finite Lebesgue measure ⋮ Dynamics in the Eremenko-Lyubich class ⋮ Lebesgue measure of escaping sets of entire functions ⋮ Lebesgue measure of escaping sets of entire functions of completely regular growth ⋮ Hausdorff dimension of escaping sets of meromorphic functions ⋮ Thermodynamic Formalism and Geometric Applications for Transcendental Meromorphic and Entire Functions ⋮ Density of hyperbolicity for classes of real transcendental entire functions and circle maps

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