Local limits of lozenge tilings are stable under bounded boundary height perturbations

DOI10.1007/s00440-018-0853-xzbMath1411.60146arXiv1709.01370OpenAlexW2962699349MaRDI QIDQ1740598

Benoît Laslier

Publication date: 30 April 2019

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1709.01370

zbMATH Keywords

lozenge tilingslocal limituniform spanning tree

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items (3)

Limit shapes and local statistics for the stochastic six-vertex model ⋮ Edge statistics for Lozenge tilings of polygons. I: Concentration of height function on strip domains ⋮ Asymptotics of Schur functions on almost staircase partitions

Cites Work

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• A variational principle for domino tilings
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• Asymptotic geometry of discrete interlaced patterns: Part I
• Correlation function of Schur process with application to local geometry of a random 3-dimensional Young diagram
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