Tau-functions à la Dubédat and probabilities of cylindrical events for double-dimers and CLE(4)

DOI10.4171/JEMS/1072zbMath1467.82009arXiv1809.00690MaRDI QIDQ2039593

Dmitry Chelkak, Mikhail Basok

Publication date: 5 July 2021

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1809.00690

zbMATH Keywords

double-dimer modelisomonodromic tau-functiontopological correlators

Mathematics Subject Classification ID

Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Other functions coming from differential, difference and integral equations (33E30) Meromorphic functions of one complex variable (general theory) (30D30) Isomonodromic deformations for ordinary differential equations in the complex domain (34M56)

Related Items (4)

Extremal distance and conformal radius of a \(\mathrm{CLE}_4\) loop ⋮ Spanning trees, cycle-rooted spanning forests on discretizations of flat surfaces and analytic torsion ⋮ Asymptotics of the determinant of discrete Laplacians on triangulated and quadrangulated surfaces ⋮ The expectation value of the number of loops and the left-passage probability in the double-dimer model

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