Functions of genus zero for which the fast escaping set has Hausdorff dimension two

DOI10.1090/S0002-9939-2015-12487-2zbMath1350.37054arXiv1311.6987OpenAlexW2023148069MaRDI QIDQ5246886

David J. Sixsmith

Publication date: 22 April 2015

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

Full work available at URL: https://arxiv.org/abs/1311.6987

zbMATH Keywords

entire functionHausdorff dimensionFatou componentfast escaping set

Mathematics Subject Classification ID

Conformal densities and Hausdorff dimension for holomorphic dynamical systems (37F35) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10)

Related Items (3)

A generalized family of transcendental functions with one dimensional Julia sets ⋮ Fast growth entire functions whose escaping set has Hausdorff dimension two ⋮ Lebesgue measure of escaping sets of entire functions of completely regular growth

Cites Work

• Baker's conjecture and Eremenko's conjecture for functions with negative zeros
• Dynamical properties of some classes of entire functions
• Simply connected fast escaping Fatou components
• Multiply connected wandering domains of entire functions
• On questions of Fatou and Eremenko
• Julia and Escaping Set Spiders’ Webs of Positive Area
• On the Hausdorff dimension of the Julia set of a regularly growing entire function
• Area and Hausdorff Dimension of Julia Sets of Entire Functions
• On semiconjugation of entire functions
• Iteration of meromorphic functions
• Fast escaping points of entire functions
• On the Multiple Points of Certain Meromorphic Functions
• DIMENSIONS OF JULIA SETS OF MEROMORPHIC FUNCTIONS
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Functions of genus zero for which the fast escaping set has Hausdorff dimension two