## Speaker:

Cesar Cuenta

## Institution:

Cal Tech

## Time:

Tuesday, February 11, 2020 - 11:00am to 11:50am

## Location:

340R

I will talk about the beta orbital corners process, a natural interpolation (on the dimension of the base field) of orbital measures from random matrix theory. The new result is the convergence in probability of the orbital corners process to a Gaussian process. Our approach is based on the study of asymptotics of the multivariate Bessel functions via explicit formulas. I will also discuss some variations of the problem by means of multivariate special functions.