WorkshopsAsymptotics for Toeplitz matrices with Fisher-Hartwig singularities
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We show how to resolve the general conjecture of Basor and Tracy on the asymptotic behavior of Toeplitz determinantswith Fisher-Hartwig singularities. Our results also cover Hankel and Hankel+Toeplitz determinants. We describe many applications from various areas within mathematics/mathematical physics. Toeplitz determinants with Fisher-Hartwig singularities first came into prominence with Onsager's solution fo the Ising model.
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Percy Deift
2011-07-13
09:55:00 - 10:40:00
國際會議廳 , Astronomy and Mathematics Building
We show how to resolve the general conjecture of Basor and Tracy on the asymptotic behavior of Toeplitz determinantswith Fisher-Hartwig singularities. Our results also cover Hankel and Hankel+Toeplitz determinants. We describe many applications from various areas within mathematics/mathematical physics. Toeplitz determinants with Fisher-Hartwig singularities first came into prominence with Onsager's solution fo the Ising model.
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