On the asymptotics of dimers on tori

DOI10.1007/s00440-015-0687-8zbMath1354.82007arXiv1310.2603OpenAlexW1582492926MaRDI QIDQ343799

Nike Sun, Richard W. Kenyon, David Bruce Wilson

Publication date: 29 November 2016

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

Full work available at URL: https://arxiv.org/abs/1310.2603

zbMATH Keywords

asymptotic expansiondimer modeltoric graph

Mathematics Subject Classification ID

Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

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Weighted graphs, spanning tree generating functions and anisotropic lattice systems: illustrative results for the Ising and dimer models ⋮ Exact finite-size corrections in the dimer model on a planar square lattice ⋮ Discrete and zeta-regularized determinants of the Laplacian on polygonal domains with Dirichlet boundary conditions ⋮ The number of ribbon tilings for strips ⋮ The Pfaffian sign theorem for the dimer model on a triangular lattice ⋮ Dimer model: Full asymptotic expansion of the partition function ⋮ The expectation value of the number of loops and the left-passage probability in the double-dimer model ⋮ Asymptotics of height change on toroidal Temperleyan dimer models

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