A Statistical Mechanics Model of Random Matrices

MATHEMATICAL PHYSICS SEMINAR
Topic:A Statistical Mechanics Model of Random Matrices
Speaker:Tom Spencer
Affiliation:Institute for Advanced Study
Date:Wednesday, February 4
Time/Room:11:15am - 12:15pm/S-101

Spectral prosperities of random matrices can be described in terms of correlations of a statistical mechanics model with hyperbolic symmetry. This talk will describe and analyze a simpler version of this model which is closely related to random walk in an random environment. We establish the presence of a diffusion phase in 3 dimensions. This is joint work with M. Disertori and M. Zirnbauer.