Nonlinear Algebra Seminar: P-adic Gaussians and their tropicalization

Seminar | January 28 | 3:45-4:45 p.m. | 939 Evans Hall

 Yassine El Mazzouz, UC Berkeley

 Department of Mathematics

We study multivariate Gaussian distributions on local fields such as the field of p-adic numbers. We introduce the Bruhat-Tits building as a parameter space for Gaussian distributions and study some classic statistical problems in this setting. Finally we study geometric and probabilistic structures of the tropicalization of such distributions.