A numerical study of two-point correlation functions of the two-periodic weighted Aztec diamond in mesoscopic limit

DOI10.1007/S11005-023-01723-6zbMath1526.82004arXiv2304.09393OpenAlexW4387106933MaRDI QIDQ6084679

Emily L. Bain

Publication date: 6 November 2023

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2304.09393

zbMATH Keywords

correlation functionsstatistical mechanicsrandom surfacesdimer models

Mathematics Subject Classification ID

Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Cites Work

• Domino statistics of the two-periodic Aztec diamond
• Alternating-sign matrices and domino tilings. II
• Alternating-sign matrices and domino tilings. I
• Local statistics of lattice dimers
• Airy point process at the liquid-gas boundary
• The two-periodic Aztec diamond and matrix valued orthogonal polynomials
• Local geometry of the rough-smooth interface in the two-periodic Aztec diamond
• Edge fluctuations of limit shapes
• Correlation functions for determinantal processes defined by infinite block Toeplitz minors
• Coupling functions for domino tilings of Aztec diamonds
• Limit shapes and the complex Burgers equation
• The arctic circle boundary and the Airy process
• Dimers and amoebae
• A variational principle for domino tilings
• Conway's Tiling Groups
• Random tilings with the GPU
• The two-point correlation function in the six-vertex model
• Arctic curves of the octahedron equation
• Local correlation functions of the two-periodic weighted Aztec diamond in mesoscopic limit
• Dimer-dimer correlations at the rough-smooth boundary

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