Dimers and families of Cauchy-Riemann operators I
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Publication:5264118
DOI10.1090/jams/824zbMath1321.82011OpenAlexW2093964240MaRDI QIDQ5264118
Publication date: 20 July 2015
Published in: Journal of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/jams/824
Gaussian processes (60G15) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)
Related Items (23)
A Pfaffian formula for monomer-dimer partition functions ⋮ Spanning trees, cycle-rooted spanning forests on discretizations of flat surfaces and analytic torsion ⋮ On the asymptotics of dimers on tori ⋮ Conformal field theory at the lattice level: discrete complex analysis and Virasoro structure ⋮ A characterisation of the Gaussian free field ⋮ Ising model: local spin correlations and conformal invariance ⋮ Universality of spin correlations in the Ising model on isoradial graphs ⋮ Lozenge tilings of hexagons with removed core and satellites ⋮ Gaps in dimer systems on doubly periodic planar bipartite graphs ⋮ Scaling limits and universality of Ising and dimer models ⋮ Topics on abelian spin models and related problems ⋮ Determinants of Laplacians on discretizations of flat surfaces and analytic torsion ⋮ Haldane relation for interacting dimers ⋮ Dimers in piecewise Temperleyan domains ⋮ Three interactions of holes in two dimensional dimer systems ⋮ Double dimers, conformal loop ensembles and isomonodromic deformations ⋮ Liouville quantum gravity on complex tori ⋮ Non-integrable dimer models: Universality and scaling relations ⋮ Airy point process at the liquid-gas boundary ⋮ \((1+\varepsilon)\) moments suffice to characterise the GFF ⋮ The effect of microscopic gap displacement on the correlation of gaps in dimer systems ⋮ Fourier transform on high-dimensional unitary groups with applications to random tilings ⋮ Lozenge tilings and the Gaussian free field on a cylinder
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