Arctic curves for paths with arbitrary starting points: a tangent method approach

DOI10.1088/1751-8121/aad028zbMath1400.82151arXiv1803.11463OpenAlexW2794874688MaRDI QIDQ4689511

Emmanuel Guitter, Philippe Di Francesco

Publication date: 16 October 2018

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

Full work available at URL: https://arxiv.org/abs/1803.11463

zbMATH Keywords

continuum limitarctic curvenon-intersecting lattice paths

Mathematics Subject Classification ID

Continuum limits in quantum field theory (81T27) Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20) Combinatorial aspects of tessellation and tiling problems (05B45) Direct numerical methods for linear systems and matrix inversion (65F05) Dynamic and nonequilibrium phase transitions (general) in statistical mechanics (82C26)

Related Items (15)

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Cites Work

• Arctic curves of the six-vertex model on generic domains: the tangent method
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• Asymptotic shapes with free boundaries
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• Dimers and amoebae
• Asymptotic geometry of discrete interlaced patterns: Part I
• Critical and multicritical semi-random (1 +d)-dimensional lattices and hard objects inddimensions
• Arctic curves in path models from the tangent method
• Arctic curves of the octahedron equation
• On the Vector Representations of Induced Matroids
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