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Department of Mathematical Sciences

Seminar Archives

On this page you can find information about seminars in this and previous academic years, where available on the database.

Pure Maths Colloquium: The Riemann-Hilbert method for random matrices

Presented by "Alexander Its (Hardy lecturer 2002; IUPUI, Indianapolis, USA) ",

22 May 2002 00:00 in CM221

" Random matrix theory is central to a number of current problems in mathematics and physics. Indeed, the distributions of random
matrix theory govern the statistical properties of the large systems which do not obey the usual laws of classical probability, and
which range from heavy nuclei to the zeros of zeta function.

In the talk, we will concentrate on the following two analytic problems of the random matrix theory. The first one is the evaluation
of the large N (N-size of the matrix) limit of the basic eigenvalue statistics. The second one is the study of the analytic properties
of the limiting distribution functions appeared after the large N limit . We will show that the both problems can be treated in the
framework of the Riemann-Hilbert method of the theory of integrable systems. (No prior knowledge of either random matrices
or integrable systems is needed)"

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