On the configuration of Herman rings of meromorphic functions

DOI10.1016/j.jmaa.2012.05.005zbMath1272.37023OpenAlexW2052374999MaRDI QIDQ439286

Jörn Peter, Núria Fagella

Publication date: 1 August 2012

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2012.05.005

zbMATH Keywords

Julia setconfigurationinvariant curvesFatou setcomplex dynamical systemsHerman ringsquasiconformal surgery

Mathematics Subject Classification ID

Related Items (6)

Herman rings of elliptic functions ⋮ On periods of Herman rings and relevant poles ⋮ Rational maps without Herman rings ⋮ Herman rings of meromorphic maps with an omitted value ⋮ Herman rings with small periods and omitted values ⋮ On the formulas of meromorphic functions with periodic Herman rings

Cites Work

• Dynamical properties of some classes of entire functions
• Iterates of meromorphic functions. IV: Critically finite functions
• Remarks on Herman rings of transcendental meromorphic functions
• Conformally natural extension of homeomorphisms of the circle
• Rational iteration: complex analytic dynamical systems
• Iterates of Meromorphic Functions II: Examples of Wandering Domains
• Iterates of meromorphic functions: I
• On the quasiconformal surgery of rational functions
• A finiteness theorem for a dynamical class of entire functions
• The components of a Julia set
• Iterates of meromorphic functions III: Preperiodic domains
• Trees associated with the configuration of Herman rings
• Iteration of meromorphic functions
• Existence of herman rings for meromorphic functions
• Exemples de fractions rationnelles ayant une orbite dense sur la sphère de Riemann
• Quasiconformal Surgery in Holomorphic Dynamics
• Small denominators. I. Mappings of the circumference onto itself
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