Ribbon ℝ-trees and holomorphic dynamics on the unit disk
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Publication:3624315
DOI10.1112/jtopol/jtn032zbMath1173.37043OpenAlexW2100460677WikidataQ56269714 ScholiaQ56269714MaRDI QIDQ3624315
Publication date: 29 April 2009
Published in: Journal of Topology (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1112/jtopol/jtn032
Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Groups acting on trees (20E08)
Related Items (7)
On geometrically finite degenerations II: convergence and divergence ⋮ On deformation space analogies between Kleinian reflection groups and antiholomorphic rational maps ⋮ On hyperbolic rational maps with finitely connected Fatou sets ⋮ Connected components of the compactification of representation spaces of surface groups ⋮ Stable convergence of inner functions ⋮ Limits of rational maps, \(\mathbb{R}\)-trees and barycentric extension ⋮ Trees, length spectra for rational maps via barycentric extensions, and Berkovich spaces
Cites Work
- Unnamed Item
- Unnamed Item
- Iteration at the boundary of the space of rational maps
- A compactification of the space of expanding maps on the circle
- Puiseux series polynomial dynamics and iteration of complex cubic polynomials
- Le spectre marqué des longueurs des surfaces à courbure négative. (The spectrum marked by lengths of surfaces with negative curvature)
- Thermodynamics, dimension and the Weil-Petersson metric
- Valuations, trees, and degenerations of hyperbolic structures. I
- Perturbative series and the moduli space of Riemann surfaces
- Degenerations of the hyperbolic space
- The geometry of Teichmüller space via geodesic currents
- Bouts des variétés hyperboliques de dimension 3. (Ends of hyperbolic 3-dimensional manifolds)
- Topologie de Gromov équivariante, structures hyperboliques et arbres réels. (Equivariant Gromov topology, hyperbolic structures, and \({\mathbb{R}}\)-trees)
- Sur les groupes hyperboliques d'après Mikhael Gromov. (On the hyperbolic groups à la M. Gromov)
- Intersection theory on the moduli space of curves and the matrix Airy function
- Local connectivity of some Julia sets containing a circle with an irrational rotation
- Dynamics of polynomials with disconnected Julia sets
- Invariant factors, Julia equivalences and the (abstract) Mandelbrot set
- Real laminations and the topological dynamics of complex polynomials
- The space of rational maps on \(\mathbf P^1\)
- L'équivalence d'une fonction différentiable et d'un polynôme
- Moduli spaces of local systems and higher Teichmüller theory
- The moduli space of quadratic rational maps
- Expanding endomorphisms of the circle revisited
- NON-STANDARD ANALYSIS AND THE MORGAN-SHALEN COMPACTIFICATION
- Trees associated with the configuration of Herman rings
- Geometry and Dynamics of Quadratic Rational Maps
- On Rigidity, Limit Sets, and End Invariants of Hyperbolic 3-Manifolds
- Bounded hyperbolic components of quadratic rational maps
- Fixed points of polynomial maps. I. Rotation subsets of the circles
- Fixed points of polynomial maps. Part II. Fixed point portraits
- Trees and the dynamics of polynomials
- Endomorphisms of Compact Differentiable Manifolds
- Homeomorphisms between limbs of the Mandelbrot set
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