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arxiv: 1207.4990 · v3 · pith:7XUKGHJCnew · submitted 2012-07-20 · 🧮 math.FA · math-ph· math.CA· math.MP

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

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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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