Title: A dual and a conjugate system for q-Gaussians for all q
Speaker: Roland Speicher（Saarland University）
Time: Wednesday, June 8, 2022, 19:30-21:00 (UTC+8).
Location: Room 201, Ming De Building.
Online access: Zoom Meeting ID: 824 7045 6491, Password: 123399, link: https://zoom.us/j/82470456491?pwd=dGswU3d3RGd1L1d4a3ZvSXdnakVkUT09
Abstract：q-Gaussian random variables, for some fixed real with 
, are of the form 
, where the 
are operators satisfying the q-relations 
. Understanding the properties of the non-commutative distributions of those deformations of classical multivariate Gaussian distributions as well as their associated operator algebras -- in particular, whether and how they depend on q -- has been of central interest in the last 30 years. I will give an introduction and survey on those q-relations and in particular report also some recent progress (from joint work with A. Miyagawa) on the existence of dual systems and conjugate systems for the q-Gaussians. Special focus is on the fact that those results are for the whole interval (-1,+1), and not just for some restricted set of q.
A dual and a conjugate system for q-Gaussians for all q.pdf
More information about the Functional Analysis Seminar can be found here.
