Isomonodromic deformation theory and the next-to-diagonal correlations of the anisotropic square lattice Ising model

DOI10.1088/1751-8113/40/24/F08zbMath1116.82008arXiv0705.0557OpenAlexW1978561381MaRDI QIDQ5292570

Publication date: 21 June 2007

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0705.0557

zbMATH Keywords

lattice correlation Ising model Isomonodromic deformation

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items (7)

The diagonal two-point correlations of the Ising model on the anisotropic triangular lattice and Garnier systems ⋮ New results for the correlation functions of the Ising model and the transverse Ising chain ⋮ Toeplitz Matrices and Toeplitz Determinants under the Impetus of the Ising Model: Some History and Some Recent Results ⋮ The Ising susceptibility scaling function ⋮ Quasicrystals -- the impact of N. G. de Bruijn ⋮ Leading corrections to the scaling function on the diagonal for the two-dimensional Ising model ⋮ Asymptotics of bordered Toeplitz determinants and next-to-diagonal Ising correlations

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