The Dirichlet problem for orthodiagonal maps
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Publication:2006082
DOI10.1016/j.aim.2020.107379zbMath1460.31026arXiv1906.01613OpenAlexW3083265476WikidataQ105726186 ScholiaQ105726186MaRDI QIDQ2006082
Ori Gurel-Gurevich, Daniel C. Jerison, Asaf Nachmias
Publication date: 8 October 2020
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1906.01613
Probabilistic potential theory (60J45) Discrete version of topics in analysis (39A12) Discrete potential theory (31C20) Circle packings and discrete conformal geometry (52C26) Difference equations in the complex domain (39A45)
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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
- Conformal invariance in random cluster models. I: Holomorphic fermions in the Ising model
- Liouville quantum gravity and KPZ
- Discrete complex analysis on isoradial graphs
- Modulus of continuity of harmonic functions
- Discrete solutions of Dirichlet problems, finite volumes, and circle packings
- The Laplacian and Dirac operators on critical planar graphs
- Growth and percolation on the uniform infinite planar triangulation
- Elliptic partial differential equations of second order
- Scaling limits for the critical Fortuin-Kasteleyn model on a random planar map. I: Cone times
- Conformal invariance of domino tiling.
- Uniform spanning forests
- The Tutte embedding of the mated-CRT map converges to Liouville quantum gravity
- Critical percolation in the plane: conformal invariance, Cardy's formula, scaling limits
- Graph Theory
- Probability on Trees and Networks
- Discrete Complex Analysis and Probability
- Rhombic embeddings of planar quad-graphs
- Representations of Planar Graphs
- Liouville quantum gravity as a mating of trees
- Planar Maps, Random Walks and Circle Packing
- Random geometry on the sphere
- Quantum gravity and the KPZ formula
- Potential theory on a rhombic lattice
- Discrete Riemann surfaces and the Ising model.
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