Probabilistic Operator Algebra Seminar: Infinitely divisible distributions in free probability

Seminar | January 17 | 2-4 p.m. | 736 Evans Hall

 Takahiro Hasebe, University of Hokkaido

 Department of Mathematics

Free infinitely divisible distributions (FID) distributions were introduced by Voiculescu. Recently many classically infinitely divisible distributions have been shown to be FID too, the first highly nontrivial one being the normal distribution found by Belinschi, Bozejko, Lehner and Speicher in 2011. Also several subclasses of FID distributions have been introduced and studied. I will try to summarize these results as well as open problems.