Wandering domains for entire functions of finite order in the Eremenko–Lyubich class

DOI10.1112/plms.12288zbMath1462.37049arXiv1807.11820OpenAlexW3101546600MaRDI QIDQ5108163

Mitsuhiro Shishikura, David Martí-Pete

Publication date: 29 April 2020

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

Full work available at URL: https://arxiv.org/abs/1807.11820

zbMATH Keywords

wandering domainbounded-type transcendental entire functionquasiconformal folding

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) Quasiconformal mappings in the complex plane (30C62) Special classes of entire functions of one complex variable and growth estimates (30D15) Critical orbits for holomorphic dynamical systems (37F12)

Related Items (14)

Topological dynamics of cosine maps ⋮ Oscillating simply connected wandering domains ⋮ Classifying simply connected wandering domains ⋮ Equilateral triangulations and the postcritical dynamics of meromorphic functions ⋮ Interpolation of power mappings ⋮ On the geometry of simply connected wandering domains ⋮ The Eremenko–Lyubich constant ⋮ Unbounded fast escaping wandering domains ⋮ Dynamics in the Eremenko-Lyubich class ⋮ Automorphisms of \(\mathbb{C}^m\) with bounded wandering domains ⋮ Univalent wandering domains 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

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