Meromorphic functions with linearly distributed values and Julia sets of rational functions

DOI10.1090/S0002-9939-08-09788-8zbMath1172.30004arXiv0808.3800WikidataQ122644188 ScholiaQ122644188MaRDI QIDQ3631836

Alexandre Eremenko, Walter Bergweiler

Publication date: 22 June 2009

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

Full work available at URL: https://arxiv.org/abs/0808.3800

zbMATH Keywords

Julia setmeromorphic function

Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Cluster sets, prime ends, boundary behavior (30D40)

Related Items (6)

Dimension rigidity in conformal structures ⋮ Rigidity and absence of line fields for meromorphic and Ahlfors islands maps ⋮ Strongly automorphic mappings and Julia sets of uniformly quasiregular mappings ⋮ Rational maps with real multipliers ⋮ Reduced dynamical systems ⋮ Extremality and dynamically defined measures, part II: Measures from conformal dynamical systems

Cites Work

• Length of Julia curves
• Rational maps with real multipliers
• Rectifiable Julia Curves
• Meromorphic Functions with Three Radially Distributed Values

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