Discrete complex analysis – the medial graph approach

DOI10.5802/acirm.65zbMath1474.39009OpenAlexW2330623130MaRDI QIDQ4682466

Felix Günther, Alexander Ivanovich Bobenko

Publication date: 18 September 2018

Published in: Actes des rencontres du CIRM (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/9df2002e08b86d1373c54af42038cd0f045691d6

zbMATH Keywords

medial graphdiscrete complex analysisGreen's identitiesCauchy's integral formulaequad-graphs

Mathematics Subject Classification ID

Discrete version of topics in analysis (39A12) Discrete analytic functions (30G25)

Cites Work

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• The boundary value problem for discrete analytic functions
• Universality in the 2D Ising model and conformal invariance of fermionic observables
• Discrete complex analysis on isoradial graphs
• Basic properties of discrete analytic functions
• The convergence of circle packings to the Riemann mapping
• Approximation of conformal mappings by circle patterns
• The Laplacian and Dirac operators on critical planar graphs
• Conformal invariance of domino tiling.
• On products in a complex
• Discrete Riemann Surfaces
• Discrete Complex Structure on Surfel Surfaces
• Linear and nonlinear theories of discrete analytic functions. Integrable structure and isomonodromic Green’s function
• Potential theory on a rhombic lattice
• Discrete Riemann surfaces and the Ising model.

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