Conformal barycenters and the Douady-Earle extension -- a discrete dynamical approach.

DOI10.1007/BF02786649zbMath1161.37332MaRDI QIDQ698322

William Abikoff

Publication date: 2002

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Conformal metrics (hyperbolic, Poincaré, distance functions) (30F45) Dynamical systems over complex numbers (37F99)

Related Items (7)

Computing the Conformal Barycenter ⋮ Cross-ratio distortion and Douady-Earle extension. II: Quasiconformality and asymptotic conformality are local ⋮ Conformally natural extensions of continuous circle maps. II: The general case ⋮ On Poincaré extensions of rational maps ⋮ Cross-ratio distortion and Douady–Earle extension: III. How to control the dilatation near the origin ⋮ Computing the Douady-Earle extension using Kuramoto oscillators ⋮ Generalized conformal barycentric extensions of circle maps

Cites Work

• Conformally natural extension of homeomorphisms of the circle
• Rational iteration: complex analytic dynamical systems
• Angular derivatives of the barycentric extension
• Iteration of Contractions and Analytic Maps
• Unnamed Item
• Unnamed Item

This page was built for publication: Conformal barycenters and the Douady-Earle extension -- a discrete dynamical approach.