Boundaries of univalent Baker domains

DOI10.1007/s11854-018-0027-xzbMath1432.30021arXiv1411.6999OpenAlexW2962947294MaRDI QIDQ1790638

G. M. Stallard, Philip J. Rippon

Publication date: 2 October 2018

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1411.6999

zbMATH Keywords

entire functionharmonic measureescaping setBaker domainFatou set, Julia set

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) Capacity and harmonic measure in the complex plane (30C85)

Related Items (7)

Invariant escaping Fatou components with two rank-one limit functions for automorphisms of ⋮ A model for boundary dynamics of Baker domains ⋮ Connectedness properties of the set where the iterates of an entire function are unbounded ⋮ On the connectivity of the escaping set in the punctured plane ⋮ Escaping points in the boundaries of Baker domains ⋮ The iterated minimum modulus and conjectures of Baker and Eremenko ⋮ Eremenko points and the structure of the escaping set

Cites Work

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• Univalent Baker domains
• Regularity and Fast Escaping Points of Entire Functions
• Slow escaping points of meromorphic functions
• Boundaries of escaping Fatou components
• On semiconjugation of entire functions
• Iteration of meromorphic functions
• On Sets Where Iterates of a Meromorphic Function Zip Towards Infinity
• Fast escaping points of entire functions
• On the Julia set of analytic self-maps of the punctured plane

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