A note on hyperbolic leaves and wild laminations of rational functions

DOI10.1080/10236190903257867zbMath1198.30031arXiv0810.5571OpenAlexW2000917780WikidataQ102273955 ScholiaQ102273955MaRDI QIDQ3570135

Mikhail Lyubich, Jeremy Kahn, Lasse Rempe-Gillen

Publication date: 24 June 2010

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0810.5571

zbMATH Keywords

Julia setsorbifoldlaminationsregular leaf space

Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Dynamical systems over complex numbers (37F99)

Related Items (4)

On the natural extensions of dynamics with a Siegel or Cremer point ⋮ Unique ergodicity of horospheric foliations revisited ⋮ Absence of line fields and Mañé’s theorem for nonrecurrent transcendental functions ⋮ Fixed-point-free elements of iterated monodromy groups

Cites Work

• A new proof of the Ahlfors five islands theorem
• A proof of Thurston's topological characterization of rational functions
• Absence of line fields and Mañé’s theorem for nonrecurrent transcendental functions
• Dynamics in One Complex Variable. (AM-160)

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