Toeplitz Matrices and Toeplitz Determinants under the Impetus of the Ising Model: Some History and Some Recent Results

DOI10.1002/cpa.21467zbMath1292.47016arXiv1207.4990OpenAlexW2963410880MaRDI QIDQ5325964

Alexander R. Its, I. V. Krasovsky, Percy A. Deift

Publication date: 31 July 2013

Published in: Communications on Pure and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1207.4990

zbMATH Keywords

Hankel determinant Ising model Szegő limit theorem block Toeplitz matrix Fisher-Hartwig conjecture Toeplitz+Hankel determinant Riemann-Hilbert method Basor-Tracy conjecture Toeplitz deteminant

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Research exposition (monographs, survey articles) pertaining to operator theory (47-02) Toeplitz, Cauchy, and related matrices (15B05)

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