A decomposition theorem for Herman maps
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Publication:462290
DOI10.1016/j.aim.2014.09.004zbMath1418.37078arXiv1203.5563OpenAlexW2050197534MaRDI QIDQ462290
Publication date: 20 October 2014
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1203.5563
Small divisors, rotation domains and linearization in holomorphic dynamics (37F50) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Combinatorics and topology in relation with holomorphic dynamical systems (37F20)
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Cites Work
- Thurston's pullback map on the augmented Teichmüller space and applications
- Siegel disks with smooth boundaries
- All bounded type Siegel disks of rational maps are quasi-disks
- Dynamics of McMullen maps
- Components of degree two hyperbolic rational maps
- Combinatorial characterization of sub-hyperbolic rational maps
- Quasiconformal homeomorphisms and dynamics. I: Solution of the Fatou- Julia problem on wandering domains
- Quasiconformal homeomorphisms and dynamics. III: The Teichmüller space of a holomorphic dynamical system
- A proof of Thurston's topological characterization of rational functions
- Siegel disks with critical points in their boundaries
- Combinations of complex dynamical systems
- Hyperbolic-parabolic deformations of rational maps
- A characterization of hyperbolic rational maps
- On boundaries of Teichmüller spaces and on Kleinian groups. II
- Exponential Thurston maps and limits of quadratic differentials
- On the dynamics of polynomial-like mappings
- On the quasiconformal surgery of rational functions
- Matings of quadratic polynomials
- The Classification of Critically Preperiodic Polynomials as Dynamical Systems
- Trees associated with the configuration of Herman rings
- A Family of Cubic Rational Maps and Matings of Cubic Polynomials
- Mating Siegel quadratic polynomials
- Exemples de fractions rationnelles ayant une orbite dense sur la sphère de Riemann
- Sharp bounds for the valence of certain harmonic polynomials
- Canonical Thurston obstructions
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