Fluctuations in the Aztec diamonds via a space-like maximal surface in Minkowski 3-space
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Publication:6659691
DOI10.5802/CML.94MaRDI QIDQ6659691
Sanjay Ramassamy, Dmitry Chelkak
Publication date: 9 January 2025
Published in: Confluentes Mathematici (Search for Journal in Brave)
Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Planar graphs; geometric and topological aspects of graph theory (05C10) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Conformal structures on manifolds (53C18)
Cites Work
- Alternating-sign matrices and domino tilings. II
- Maximal surfaces in the 3-dimensional Minkowski space \(L^ 3\)
- Miquel dynamics, Clifford lattices and the dimer model
- Perfect matchings and the octahedron recurrence
- Alternating-sign matrices and domino tilings. I
- Generalized domino-shuffling.
- Fluctuations of particle systems determined by Schur generating functions
- Local statistics for random domino tilings of the Aztec diamond
- Asymptotic domino statistics in the Aztec diamond
- Perfect matchings for the three-term Gale-Robinson sequences
- Conway's Tiling Groups
- Inhomogeneous field theory inside the arctic circle
- Lectures on Dimers
- Lectures on Random Lozenge Tilings
- Inhomogeneous Gaussian free field inside the interacting arctic curve
- Perfect sampling algorithm for Schur processes
- Dimers and circle patterns
- Dimer model and holomorphic functions on t‐embeddings of planar graphs
- Perfect t-embeddings of uniformly weighted Aztec diamonds and tower graphs
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