Hausdorff dimension of hairs and ends for entire maps of finite order

DOI10.1017/S0305004108001515zbMath1162.30013OpenAlexW2121704659WikidataQ113391309 ScholiaQ113391309MaRDI QIDQ3542114

Krzysztof Barański

Publication date: 28 November 2008

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

Full work available at URL: https://doi.org/10.1017/s0305004108001515

zbMATH Keywords

Julia setFatou componentattracting fixed pointsingular value

Mathematics Subject Classification ID

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

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Cites Work

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• Dynamical properties of some classes of entire functions
• Uniformization of attracting basins for exponential maps
• Trees and hairs for some hyperbolic entire maps of finite order
• The Geometry of Julia Sets
• The Hausdorff dimension of Julia sets of entire functions
• HOW POINTS ESCAPE TO INFINITY UNDER EXPONENTIAL MAPS
• HAIRS FOR THE COMPLEX EXPONENTIAL FAMILY
• Dynamics of exp (z)
• Dynamics of entire functions near the essential singularity
• Area and Hausdorff Dimension of Julia Sets of Entire Functions
• The domains of normality of an entire function
• Hausdorff dimension of the hairs without endpoints for λ exp z
• The Hausdorff dimension of Julia sets of entire functions III
• ESCAPING POINTS OF EXPONENTIAL MAPS
• The Hausdorff Dimension of Julia Sets of Entire Functions IV
• Coding trees and boundaries of attracting basins for some entire maps

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