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Mock-Gaussian behaviour

Presented by: 
C Hughes [AIM]
Date: 
Thursday 8th April 2004 - 09:00 to 10:00
Venue: 
INI Seminar Room 1
Session Title: 
Recent Perspectives in Random Matrix Theory and Number Theory
Abstract: 

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.

Related Links

University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons