Circle packings and combinatorial moduli

DOI10.5802/aif.2488zbMath1189.30080OpenAlexW2949193164MaRDI QIDQ848120

Peter Haïssinsky

Publication date: 22 February 2010

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/10452

zbMATH Keywords

circle packingsquasiconformal mappingmodulus of curvescombinatorial modulicombinatorial Riemann mapping theorem

Mathematics Subject Classification ID

Compact Riemann surfaces and uniformization (30F10) Tilings in (2) dimensions (aspects of discrete geometry) (52C20) Quasiconformal mappings in the complex plane (30C62)

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Cites Work

• The convergence of circle packings to the Riemann mapping
• Quasimöbius maps
• Groups of polynomial growth and expanding maps. Appendix by Jacques Tits
• A variational principle for circle packings.
• Quasiconformal maps in metric spaces with controlled geometry
• Square tilings with prescribed combinatorics
• The combinatorial Riemann mapping theorem
• Quasisymmetric parametrizations of two-dimensional metric spheres
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• Rigidity for quasi-Möbius group actions
• Lectures on analysis on metric spaces
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• Conformal dimension and Gromov hyperbolic groups with 2-sphere boundary.
• Metric and geometric quasiconformality in Ahlfors regular Loewner spaces
• Dimension conforme et sphère à l'infini des variétés à courbure négative
• Three dimensional manifolds, Kleinian groups and hyperbolic geometry
• Recognizing constant curvature discrete groups in dimension 3
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