Geometry Seminar - Abstracts


Monday 30 May 2016, 16:00 - 17:00, in HG00.058
Alfredo Deaño (University of Kent)
Asymptotic analysis of the partition function in (some) random matrix ensembles


The partition function Z_N in unitary invariant ensembles of N x N random matrices is a very important object in mathematical physics, and its asymptotic behaviour as N tends to infinity has been studied for a long time in different settings. In this talk we will present some general results for ensembles with polynomial potentials, and show how in some cases the asymptotic behaviour of Z_N can be obtained using tools from orthogonal polynomials and integrable systems.

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