题目：A dual and a conjugate system for q-Gaussians for all q
报告人：Roland Speicher（萨尔大学）
时间：2022年6月8日（星期三），19:30-21:00
地点：哈工大明德楼B区201报告厅
Zoom会议：会议号：824 7045 6491，会议密码：123399，链接：https://zoom.us/j/82470456491?pwd=dGswU3d3RGd1L1d4a3ZvSXdnakVkUT09
摘要：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
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