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• W1662281867 abstract "We review the asymptotic behavior of a class of Toeplitz (as well as related Hankel and Toeplitz + Hankel) determinants which arise in integrable models and other contexts. We discuss Szego, Fisher-Hartwig asymptotics, and how a transition between them is related to the Painlevé V equation. Certain Toeplitz and Hankel determinants reduce, in certain double-scaling limits, to Fredholm determinants which appear in the theory of group representations, in random matrices, random permutations and partitions. The connection to Toeplitz determinants helps to evaluate the asymptotics of related Fredholm determinants in situations of interest, and we review the corresponding results." @default.
• W1662281867 created "2016-06-24" @default.
• W1662281867 creator A5028441508 @default.
• W1662281867 date "2011-01-01" @default.
• W1662281867 modified "2023-10-10" @default.
• W1662281867 title "Aspects of Toeplitz Determinants" @default.
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• W1662281867 doi "https://doi.org/10.1007/978-3-0346-0244-0_16" @default.
• W1662281867 hasPublicationYear "2011" @default.
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