Speaker
Marwa Banna
Description
In this talk, I will start by illustrating matrix models
relative to free, infinitesimal free, monotone, and c-free
independencies. Notions of independence play a key role in studying
joint distributions of non-commutative random variables and hence in
studying limiting distributions of the associated random matrix models.
I will illustrate in particular recent results relative to the monotone
case.
Just as in the classical setting, to each notion of independence
corresponds a central limit theorem. The second part of the talk will
focus on the operator-valued setting, where I show quantitative results
for the relative operator-valued central limit theorems.
Based on joint works with Arizmendi, Gilliers, Mai, & Tseng.