Limit shapes from harmonicity: dominos and the five vertex model

DOI10.1088/1751-8121/ad17d7arXiv2310.06429MaRDI QIDQ6184817

Richard W. Kenyon, István Prause

Publication date: 29 January 2024

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2310.06429

zbMATH Keywords

domino tilingsfive-vertex modellimit shapestrivial potential

Mathematics Subject Classification ID

Quantum theory (81-XX) Statistical mechanics, structure of matter (82-XX)

Cites Work

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• Alternating-sign matrices and domino tilings. I
• Generalized domino-shuffling.
• The Laplacian and Dirac operators on critical planar graphs
• Limit shapes for the asymmetric five vertex model
• Gradient variational problems in \(\mathbb{R}^2\)
• Limit shapes and the complex Burgers equation
• Dimers and amoebae
• The genus-zero five-vertex model
• A variational principle for domino tilings
• Lectures on Dimers
• Arctic curves of the four-vertex model

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