A landing theorem for entire functions with bounded post-singular sets

DOI10.1007/s00039-020-00551-3zbMath1461.37047arXiv1711.10780OpenAlexW3099060364MaRDI QIDQ2216469

Lasse Rempe-Gillen, Anna Miriam Benini

Publication date: 16 December 2020

Published in: Geometric and Functional Analysis. GAFA (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1711.10780

zbMATH Keywords

combinatoricsaccessibilitytranscendental entire functionexternal raytranscendental dynamicsdreadlockhair

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) Combinatorics and topology in relation with holomorphic dynamical systems (37F20) Critical orbits for holomorphic dynamical systems (37F12)

Related Items (11)

About Rays, Dreadlocks and Periodic Points in Transcendental Dynamics ⋮ Fatou's associates ⋮ Geometrically finite transcendental entire functions ⋮ Homotopy Hubbard trees for post-singularly finite exponential maps ⋮ Local connectivity of the Mandelbrot set at some satellite parameters of bounded type ⋮ A model for boundary dynamics of Baker domains ⋮ A converse landing theorem in parameter spaces ⋮ Dynamics in the Eremenko-Lyubich class ⋮ Singularities of inner functions associated with hyperbolic maps ⋮ Criniferous entire maps with absorbing Cantor bouquets ⋮ Combinatorics of criniferous entire maps with escaping critical values

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