Thursday, April 19, 2018 - 16:00 to 17:00

427 Thackeray

### Abstract or Additional Information

Abstract.

Sniady constructed a random matrix model which has a limiting

noncommutative distribution of the $q$-Gaussian distribution. In this talk,

I will introduce the Segal-Bargmann transform in the classical case and on the

Sniady random matrix model. Then we will construct the $q$-Segal-Bargmann

transform by means of operator algebra. Finally I will describe what it is meant by the

Segal-Bargmann transform on the Sniady random matrix model converges to the

$q$-Segal-Bargmann transform in $L^2$ sense.