Dimer model and holomorphic functions on t‐embeddings of planar graphs
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Publication:6075080
DOI10.1112/plms.12516zbMath1522.82008arXiv2001.11871MaRDI QIDQ6075080
Dmitry Chelkak, Benoît Laslier, Marianna Russkikh
Publication date: 20 September 2023
Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2001.11871
Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Critical phenomena in equilibrium statistical mechanics (82B27) Discrete analytic functions (30G25)
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Cites Work
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- Robust discrete complex analysis: a toolbox
- Arctic curves of the six-vertex model on generic domains: the tangent method
- Universality in the 2D Ising model and conformal invariance of fermionic observables
- Asymptotics of uniformly random lozenge tilings of polygons. Gaussian free field
- Conformal invariance in random cluster models. I: Holomorphic fermions in the Ising model
- Discrete complex analysis on isoradial graphs
- Conformal field theory
- Dimers, tilings and trees
- Non-integrable dimers: universal fluctuations of tilted height profiles
- Miquel dynamics, Clifford lattices and the dimer model
- The Laplacian and Dirac operators on critical planar graphs
- Dimers in piecewise Temperleyan domains
- Double dimers, conformal loop ensembles and isomonodromic deformations
- Fluctuations of particle systems determined by Schur generating functions
- Conformal invariance of domino tiling.
- Dominos and the Gaussian free field.
- The Dirichlet problem for orthodiagonal maps
- Dominos in hedgehog domains
- Dimers and imaginary geometry
- Circle patterns and critical Ising models
- Conformal invariance of dimer heights on isoradial double graphs
- Limit shapes and the complex Burgers equation
- Height fluctuations in the honeycomb dimer model
- Gaussian free fields for mathematicians
- The dissection of rectangles into squares
- A variational principle for domino tilings
- Discrete Complex Analysis and Probability
- Conway's Tiling Groups
- Lectures on Dimers
- Lectures on Random Lozenge Tilings
- PLANAR ISING MODEL AT CRITICALITY: STATE-OF-THE-ART AND PERSPECTIVES
- Potential theory on a rhombic lattice
- Discrete Riemann surfaces and the Ising model.
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