Intrinsic circle domains

DOI10.1090/S1088-4173-2014-00262-8zbMath1305.30006arXiv1303.6930OpenAlexW2049838906MaRDI QIDQ2922922

Edward Crane

Publication date: 15 October 2014

Published in: Conformal Geometry and Dynamics of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1303.6930

zbMATH Keywords

circle packinghyperbolic metricconformal weldingcircle domains

Mathematics Subject Classification ID

Conformal metrics (hyperbolic, Poincaré, distance functions) (30F45) Conformal mappings of special domains (30C20) Schwarz-Christoffel-type mappings (30C30) Circle packings and discrete conformal geometry (52C26)

Uses Software

• CirclePack

Cites Work

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• The univalent Bloch-Landau constant, harmonic symmetry and conformal glueing
• The convergence of circle packings to the Riemann mapping
• Transboundary extremal length
• Fixed points, Koebe uniformization and circle packings
• Minimal kernels, quadrature identities and proportional harmonic measures
• Quadratic Differentials and Weighted Graphs on Compact Surfaces
• The Polya-Tchebotarov problem
• Discrete conformal welding
• A bound for Smale's mean value conjecture for complex polynomials

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