Partition function of periodic isoradial dimer models

DOI10.1007/s00440-006-0041-2zbMath1375.82028arXivmath/0605583OpenAlexW2055530810MaRDI QIDQ880944

Béatrice de Tilière

Publication date: 21 May 2007

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

Full work available at URL: https://arxiv.org/abs/math/0605583

zbMATH Keywords

growth rateperiodic isoradial dimer modelssimple explicit formulatoroidal partition function

Mathematics Subject Classification ID

Other physical applications of random processes (60K40) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

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Quivers, YBE and 3-manifolds ⋮ Mahler measure for a quiver symphony ⋮ The critical \(Z\)-invariant Ising model via dimers: Locality property

Cites Work

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• Planar dimers and Harnack curves
• Quadri-tilings of the plane
• Local statistics of lattice dimers
• The Laplacian and Dirac operators on critical planar graphs
• Matchings in graphs on non-orientable surfaces
• Dimers and amoebae
• A variational principle for domino tilings
• The statistics of dimers on a lattice
• Dimer problem in statistical mechanics-an exact result
• Potential theory on a rhombic lattice
• Discrete Riemann surfaces and the Ising model.

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