Bonn 2010 – wissenschaftliches Programm

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MP: Fachverband Theoretische und Mathematische Grundlagen der Physik

MP 7: Hauptvortrag

MP 7.1: Hauptvortrag

Mittwoch, 17. März 2010, 14:00–14:50, JUR H

Bulk universality for Wigner random matrices — •Benjamin Schlein — DPMMS, University of Cambridge, Cambridge, UK

In this talk I am going to consider ensembles of NxN random matrices whose entries are, up to symmetry constraints, independent and identically distributed. Assuming sub-exponential decay of the matrix entries, I will present a proof of the universality of the local eigenvalue statistic; in the limit of large N the eigenvalue correlation functions are independent of the probability distribution of the entries and are determined by the symmetry of the matrix (hermitian, real symmetric, or symplectic).