The multinomial tiling model

DOI10.1214/22-AOP1575MaRDI QIDQ2085544

Cosmin Pohoata, Richard W. Kenyon

Publication date: 18 October 2022

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2104.03205

zbMATH Keywords

phase transitiontilingquasicrystal

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Combinatorial probability (60C05)

Cites Work

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• Alternating-sign matrices and domino tilings. II
• Alternating-sign matrices and domino tilings. I
• The exact solution of an octagonal rectangle-triangle random tiling
• Tiling figures of the plane with two bars
• Local statistics for random domino tilings of the Aztec diamond
• Conformal invariance of domino tiling.
• Dominos and the Gaussian free field.
• Limit shapes and the complex Burgers equation
• Dimers and amoebae
• A variational principle for domino tilings
• Dimer packings with gaps and electrostatics
• The square-triangle random-tiling model in the thermodynamic limit
• Dimer problem in statistical mechanics-an exact result
• The undecidability of the domino problem

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