During the last 1015 years the RiemannHilbert technique has been successfully used for solving a number of longstanding problems in the field of asymptotic analysis of the determinants of Toeplitz and Hankel matrices. The technique has been also extended to the determinants of Toelpitz + Hankel matrices generated by the same symbol. In the talk, we will explain how the RiemannHilbert framework can be further extended to include the Toeplit+Hankel matrices whose symbols are unrelated. The principal motivation of this extension is the evaluation of the large N asymptotics of the eigenvalues of Hankel matrices. The talk is based on the joint work with R. Gharakhloo, and it is a part of bigger joint project with P. Deift, T. Bothner and I. Krasovsky on the asymptotic theory of Toeplitz, Hankel and Toplitz + Hankel determinants.
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The RiemannHilbert approach to the determinants of Toeiplitz + Hankel matrices
Research Group:
Alexander Its
Institution:
Indiana University Purdue University, Indianapolis
Location:
A134
Schedule:
Wednesday, May 16, 2018  16:00
Abstract:
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