Student Probability Seminar

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Mesoscopic Fluctuations of the Zeta Zeros

Speaker: Paul Bourgade

Location: Warren Weaver Hall 202

Date: Friday, November 13, 2009, 3 p.m.

Synopsis:

For large unitary matrices, the number of eigenvalues in distinct shrinking intervals satisfies a central limit theorem, whose covariance structure is related to some branching processes. In this talk, we present these random matrix results, following works of Diaconis, Evans and Wieand, and show the strict analogue for the zeros of L-functions.