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Durham University

Research & business

Research lectures, seminars and events

The events listed in this area are research seminars, workshops and lectures hosted by Durham University departments and research institutes. If you are not a member of the University, but  wish to enquire about attending one of the events please contact the organiser or host department.


Probability Seminar: Random matrices as seen from infinite beta

Presented by Vadim Gorin, University of Wisconsin
16 October 2020 17:00 in Zoom (Meeting ID: 972 9221 0339 Passcode: 954590)

Dyson's threefold approach suggests to deal with real/complex/quaternion random matrices as beta=1/2/4 instances of beta-ensembles.
We complement this approach by the new beta=\infty point. Our central objects are G\inftyE ensemble, which is a counterpart of classical Gaussian Orthogonal/Unitary/Symplectic ensembles, and Airy_\infty line ensemble, which is a collection of continuous curves serving as a scaling limit for largest eigenvalues at beta=\infty. On our way we encounter unusual orthogonal polynomials, random walks, and zeros of the Airy function.

Note the exceptional time

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