Nowhere differentiable hairs for entire maps

DOI10.1007/s00209-018-2223-xOpenAlexW2963479241WikidataQ113401690 ScholiaQ113401690MaRDI QIDQ2633138

Patrick Comdühr

Publication date: 8 May 2019

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1803.05679

zbMATH Keywords

differentiabilityexponential mapcomplex dynamicsexternal rayEremenko-Lyubich classhair

Mathematics Subject Classification ID

Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65) 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)

Cites Work

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• Dynamic rays of bounded-type entire functions
• Dynamical properties of some classes of entire functions
• Rational iteration: complex analytic dynamical systems
• Trees and hairs for some hyperbolic entire maps of finite order
• Semiconjugacies, pinched Cantor bouquets and hyperbolic orbifolds
• Dynamics of exp (z)
• The Differentiability of the Hairs of exp(Z)
• Iteration of meromorphic functions
• On the differentiability of hairs for Zorich maps
• Hyperbolic entire functions with full hyperbolic dimension and approximation by Eremenko-Lyubich functions
• Dynamics in One Complex Variable. (AM-160)

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