Approximation of Conformal Mappings Using Conformally Equivalent Triangular Lattices

DOI10.1007/978-3-662-50447-5_3zbMath1355.30006arXiv1507.06449OpenAlexW2261814382MaRDI QIDQ2832769

Ulrike Bücking

Publication date: 14 November 2016

Published in: Advances in Discrete Differential Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1507.06449

zbMATH Keywords

approximationtriangular latticeconformal mapdiscrete conformal PL-mapping

Mathematics Subject Classification ID

Conformal mappings of special domains (30C20) Schwarz-Christoffel-type mappings (30C30) Discrete analytic functions (30G25)

Related Items (4)

Discrete conformal geometry of polyhedral surfaces and its convergence ⋮ The convergence of discrete uniformizations for genus zero surfaces ⋮ Convergence of discrete period matrices and discrete holomorphic integrals for ramified coverings of the Riemann sphere ⋮ \(C^\infty \)-convergence of conformal mappings for conformally equivalent triangular lattices

Cites Work

• The boundary value problem for discrete analytic functions
• Universality in the 2D Ising model and conformal invariance of fermionic observables
• Circle patterns with the combinatorics of the square grid
• The \(C^{\infty }\)-convergence of SG circle patterns to the Riemann mapping
• The convergence of circle packings to the Riemann mapping
• Approximation of conformal mappings by circle patterns
• The \(C^\infty\)-convergence of hexagonal disk packings to the Riemann map
• On the convergence of circle packings to the Riemann map
• Discrete conformal maps and ideal hyperbolic polyhedra
• Convergence in discrete Cauchy problems and applications to circle patterns
• COMBINATORIAL YAMABE FLOW ON SURFACES
• Unnamed Item

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