Coding trees and boundaries of attracting basins for some entire maps

DOI10.1088/0951-7715/20/2/008zbMath1125.37033OpenAlexW2090196380MaRDI QIDQ5296483

Krzysztof Barański, Bogusława Karpińska

Publication date: 1 August 2007

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0951-7715/20/2/008

zbMATH Keywords

cluster setsstructure of the Julia setsymbolic itinerarybehaviour of the Riemann mapping

Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Small divisors, rotation domains and linearization in holomorphic dynamics (37F50) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Cluster sets, prime ends, boundary behavior (30D40)

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About Rays, Dreadlocks and Periodic Points in Transcendental Dynamics ⋮ Fatou's associates ⋮ Trees and hairs for some hyperbolic entire maps of finite order ⋮ Countable alphabet random subhifts of finite type with weakly positive transfer operator ⋮ A bound on the number of rationally invisible repelling orbits ⋮ Geometrically finite transcendental entire functions ⋮ A model for boundary dynamics of Baker domains ⋮ A landing theorem for entire functions with bounded post-singular sets ⋮ Hausdorff dimension of hairs and ends for entire maps of finite order ⋮ Are Devaney hairs fast escaping? ⋮ Dynamics in the Eremenko-Lyubich class ⋮ Singularities of inner functions associated with hyperbolic maps ⋮ Combinatorics of criniferous entire maps with escaping critical values ⋮ Accesses to infinity from Fatou components ⋮ Thermodynamic Formalism and Geometric Applications for Transcendental Meromorphic and Entire Functions

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