Gaps in dimer systems on doubly periodic planar bipartite graphs

DOI10.1090/PROC/13651zbMath1382.82010OpenAlexW2586399373MaRDI QIDQ5354487

Mihai Ciucu

Publication date: 4 September 2017

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/proc/13651

zbMATH Keywords

gapsdimer modelsliquid phase2D (Coulomb) electrostaticsclose dimer packingcorrelation of gapsstatistical dynamics of dimer on 2D lattices

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Phase transitions (general) in equilibrium statistical mechanics (82B26) Percolation (82B43) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Asymptotic enumeration (05A16)

Related Items (2)

Lozenge tilings of hexagons with removed core and satellites ⋮ The effect of microscopic gap displacement on the correlation of gaps in dimer systems

Cites Work

• Macroscopically separated gaps in dimer coverings of Aztec rectangles
• Scaling limit of isoradial dimer models and the case of triangular quadri-tilings
• The Laplacian and Dirac operators on critical planar graphs
• Dimers and amoebae
• The interaction of collinear gaps of arbitrary charge in a two dimensional dimer system
• Dimer packings with gaps and electrostatics
• Statistical Mechanics of Dimers on a Plane Lattice
• The scaling limit of the correlation of holes on the triangular lattice with periodic boundary conditions
• Dimers and families of Cauchy-Riemann operators I
• Statistical Mechanics of Dimers on a Plane Lattice. II. Dimer Correlations and Monomers
• A random tiling model for two dimensional electrostatics

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