Characterizations of circle homeomorphisms of different regularities in the universal Teichmüller space

MaRDI QIDQ6149999

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Publication date: 6 February 2024

Published in: EMS Surveys in Mathematical Sciences (Search for Journal in Brave)

zbMATH Keywords

quasiconformal mapDouady-Earle extensionBeurling-Ahlfors extensionThurston's earthquake map

Mathematics Subject Classification ID

Research exposition (monographs, survey articles) pertaining to functions of a complex variable (30-02) Teichmüller theory for Riemann surfaces (30F60) Quasiconformal mappings in the complex plane (30C62) Kernel functions in one complex variable and applications (30C40)

Cites Work

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• Cross-ratio distortion and Douady-Earle extension. II: Quasiconformality and asymptotic conformality are local
• Some characterizations of the integrable Teichmüller space
• The boundary correspondence under quasiconformal mappings
• Riemann's mapping theorem for variable metrics
• Generalized conformal barycentric extensions of circle maps
• Ordinary differential equations and quasiconformal mappings
• Integrably asymptotic affine homeomorphisms of the circle and Teichmüller spaces
• Conformally natural extension of homeomorphisms of the circle
• Über extremale quasikonforme Abbildungen
• Sur les courbes definies par les équations différentielles à la surface du tore
• Conformally natural extensions of vector fields and applications
• Topological characterization of an asymptotic Teichmüller space through measured geodesic laminations
• Conformally natural extensions of continuous circle maps. II: The general case
• Complex earthquakes and deformations of the unit disk
• Characterization of the asymptotic Teichmüller space of the open unit disk through shears
• Smooth functions
• Topological conjugacy of circle diffeomorphisms
• Cross-ratio distortion and Douady-Earle extension: I. A new upper bound on quasiconformality
• Solutions de l'equation de Beltrami avec ||\mu||_\infty = 1
• Conformally Natural Extension of Vector Fields From S n-1 to B n
• Extensions with bounded ∂-derivative
• Symmetric Structures on a Closed Curve
• Complex earthquakes and Teichmüller theory
• Cross-ratio distortion and Douady–Earle extension: III. How to control the dilatation near the origin
• Continuity of the barycentric extension of circle diffeomorphisms with Hölder continuous derivative
• Infinitesimal Bending and Twisting in One-Dimensional Dynamics
• Norms on earthquake measures and Zygmund functions
• Renormalization and 3-Manifolds Which Fiber over the Circle
• Uniform weak* topology and earthquakes in the hyperbolic plane
• Quasisymmetric groups
• Real and complex earthquakes
• Holomorphic contractibility and other properties of the Weil-Petersson and VMOA Teichmüller spaces

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