Toeplitz matrices and Toeplitz determinants under the impetus of the Ising model. Some history and some recent results

2012/07/31 by P. Deift, A. Its, I. Krasovsky · 1 citation
Mathematics · Physics and Astronomy · #math-ph #math.CA #math.FA #math.MP

paper · pdf

published as Comm. Pure Appl. Math. 66 (2013), 1360-1438 · 70 pages, with additions to the text

arxiv created 2012/12/01 · arxiv updated 2014/12/08

Abstract

We review some history and some recent results concerning Toeplitz determinants and their applications. We discuss, in particular, the crucial role of the two-dimensional Ising model in stimulating the development of the theory of Toeplitz determinants.

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• Two dimensional inhomogeneous classical systems at criticality

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