Univalent wandering domains in the Eremenko-Lyubich class

DOI10.1007/s11854-027-0079-xzbMath1435.30084arXiv1711.10629OpenAlexW2984079277MaRDI QIDQ2299479

Kirill Lazebnik, Núria Fagella, Xavier Jarque

Publication date: 21 February 2020

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

Full work available at URL: https://arxiv.org/abs/1711.10629

zbMATH Keywords

iterationentire functions

Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Entire functions of one complex variable (general theory) (30D20)

Related Items (10)

Oscillating simply connected wandering domains ⋮ Quasiconformal maps with thin dilatations ⋮ Classifying simply connected wandering domains ⋮ Interpolation of power mappings ⋮ On the geometry of simply connected wandering domains ⋮ Unbounded fast escaping wandering domains ⋮ Dynamics in the Eremenko-Lyubich class ⋮ Prescribing the postsingular dynamics of meromorphic functions ⋮ Oscillating wandering domains for functions with escaping singular values ⋮ Emergence of wandering stable components

Cites Work

• Absence of wandering domains for some real entire functions with bounded singular sets
• Dynamical properties of some classes of entire functions
• Quasiconformal homeomorphisms and dynamics. I: Solution of the Fatou- Julia problem on wandering domains
• Prescribing the postsingular dynamics of meromorphic functions
• Constructing entire functions by quasiconformal folding
• Wandering domains for composition of entire functions
• Several constructions in the Eremenko-Lyubich class
• On a Theorem of Mori and the Definition of Quasiconformality
• Examples of Entire Functions with Pathological Dynamics
• A finiteness theorem for a dynamical class of entire functions
• Invariant domains and singularities
• Wandering domains for entire functions of finite order in the Eremenko–Lyubich class
• Fatou components and singularities of meromorphic functions
• Dynamics in One Complex Variable. (AM-160)
• On the set where the iterates of an entire function are neither escaping nor bounded
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