April 17, 2014
Universality for the Stochastic Airy Operator
Brian Rider, Temple University
The Stochastic Airy Operator first arose as the continuum limit of certain (generalization of) ensembles of symmetric Gaussian random matrices in the vicinity of their spectral edge. We show that this picture persists for the general logarithmic gas on the line with uniformly convex polynomial potential. Based on joint work with Manjunath Krishnapur (IISC) and Bálint Virág (University of Toronto).