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Mock-Gaussian behaviour

Hughes, C (AIM)
Thursday 08 April 2004, 09:00-10:00

Seminar Room 1, Newton Institute


Mock-Gaussian behaviour is when a smooth counting function (or linear statistic) has its first few moments equal to the moments of a Gaussian distribution, even though it is not a normal distribution. In this lecture we will see that this behaviour holds eigenvalues of random matrices, and analogously for the zeros of the Riemann zeta function and other L-functions. The research presented in this lecture is joint with Zeev Rudnick.

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