Loop statistics in the toroidal honeycomb dimer model

DOI10.1214/09-AOP453zbMath1179.60065arXivmath/0608600OpenAlexW3103249382MaRDI QIDQ1035861

Béatrice de Tilière, Cédric Boutillier

Publication date: 4 November 2009

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0608600

zbMATH Keywords

winding numberdimersloop ensemble

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)

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Rigidity of 3-colorings of the discrete torus ⋮ On the asymptotics of dimers on tori ⋮ Spanning forests and the vector bundle Laplacian ⋮ Interlaced processes on the circle ⋮ Lozenge tilings and the Gaussian free field on a cylinder ⋮ Dimers and families of Cauchy-Riemann operators I ⋮ Asymptotics of height change on toroidal Temperleyan dimer models

Cites Work

• Operator content of two-dimensional conformally invariant theories
• Scaling limit of isoradial dimer models and the case of triangular quadri-tilings
• Conformal invariance of domino tiling.
• Dominos and the Gaussian free field.
• Relations between the Coulomb gas picture and conformal invariance of two-dimensional critical models
• Dimers and amoebae
• Height fluctuations in the honeycomb dimer model
• A variational principle for domino tilings
• The statistics of dimers on a lattice
• Conway's Tiling Groups
• Dimer problem in statistical mechanics-an exact result
• Unnamed Item
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