ON THE UNIFORM PERFECTNESS OF THE BOUNDARY OF MULTIPLY CONNECTED WANDERING DOMAINS

DOI10.1017/S1446788711001509zbMath1256.37031arXiv1011.5318OpenAlexW2022986264MaRDI QIDQ5389473

Walter Bergweiler, Jian-Hua Zheng

Publication date: 20 April 2012

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

Full work available at URL: https://arxiv.org/abs/1011.5318

zbMATH Keywords

iterationentire functionJulia setFatou setwandering domainuniformly perfect

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) Special classes of entire functions of one complex variable and growth estimates (30D15)

Related Items (7)

A transcendental Julia set of dimension 1 ⋮ On topological properties of Fatou sets and Julia sets of transcendental entire functions ⋮ Iterates of meromorphic functions on escaping Fatou components ⋮ Interpolation of power mappings ⋮ Topological properties of certain iterated entire maps ⋮ ON THE ITERATIONS AND THE ARGUMENT DISTRIBUTION OF MEROMORPHIC FUNCTIONS ⋮ Eremenko points and the structure of the escaping set

Cites Work

• Quasiconformal homeomorphisms and dynamics. I: Solution of the Fatou- Julia problem on wandering domains
• Uniformly perfect sets and the Poincaré metric
• On multiply-connected Fatou components in iteration of meromorphic functions
• Über die Iteration der ganzen transzendenten Funktionen, insbesondere von \(\sin z\) und \(\cos z\)
• Wandering Domains in the Iteration of Entire Functions
• Infinite limits in the iteration of entire functions
• Various domain constants related to uniform perfectness
• Julia Sets are Uniformly Perfect
• The domains of normality of an entire function
• The Poincaré Metric of Plane Domains
• Julia sets of rational functions are uniformly perfect
• Iteration of meromorphic functions
• On Uniformly Perfect Boundaries of Stable Domains in Iteration of Meromorphic Functions
• Uniformly perfect sets and distortion of holomorphic functions
• Complex Dynamics and Renormalization (AM-135)

This page was built for publication: ON THE UNIFORM PERFECTNESS OF THE BOUNDARY OF MULTIPLY CONNECTED WANDERING DOMAINS