Tangent method for the arctic curve arising from freezing boundaries

DOI10.1088/1742-5468/ab4fddzbMath1459.82066arXiv1810.04909OpenAlexW2997271346MaRDI QIDQ5856016

Bryan Debin, Philippe Ruelle

Publication date: 23 March 2021

Published in: Journal of Statistical Mechanics: Theory and Experiment (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1810.04909

Mathematics Subject Classification ID

Exactly solvable models; Bethe ansatz (82B23)

Related Items (4)

Double tangent method for two-periodic Aztec diamonds ⋮ Arctic boundaries of the ice model on three-bundle domains ⋮ Arctic curves of the twenty-vertex model with domain wall boundaries ⋮ The Arctic curve for Aztec rectangles with defects via the tangent method

Cites Work

• Arctic curves of the six-vertex model on generic domains: the tangent method
• Asymptotics of random lozenge tilings via Gelfand-Tsetlin schemes
• The shape of a typical boxed plane partition
• A note on domino shuffling
• Inhomogeneous field theory inside the arctic circle
• Asymptotic geometry of discrete interlaced patterns: Part I
• Arctic curves for paths with arbitrary starting points: a tangent method approach
• Concavity analysis of the tangent method

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