\u201cFinite Free Probability\u201d
\nby Mohan Ravichandran (Mimar Sinan University)<\/p>\n
Date: Tuesday, April 17, 2018
\nTime: 16:00-17:00
\nPlace: Mathematics Seminar Room, SA \u2013 141<\/p>\n
Abstract: Free probability, introduced by Voiculescu in the 1980\u2019s is a powerful tool to study asymptotic properties of natural random matrix ensembles. One major drawback though is that it is defined in the setting of von Neumann algebras and as such \u2018free random variables\u2019 do not exist in finite dimensions. This makes (as I will explain) Free probability inapplicable when studying non-asymptotic properties of random matrices. In 2015, Adam Marcus introduced a new notion of \u2018finite freeness\u2019 using certain natural convolutions on univariate polynomials and showed that this yields Voiculescu\u2019s free probability as a limit. In this talk, after introducing this area, I will list several open problems and present some results of mine on a multivariate version of this, something that is needed for applications. The talk will be self-contained. No knowledge of von Neumann algebras, free probability or random matrices will be assumed.<\/p>\n
http:\/\/www.fen.bilkent.edu.tr\/~cvmath\/tr\/seminars\/2018Spring\/17042018.pdf<\/a> \u201cFinite Free Probability\u201d by Mohan Ravichandran (Mimar Sinan University) Date: Tuesday, April 17, 2018 Time: 16:00-17:00 Place: Mathematics Seminar Room, SA \u2013 141 Abstract: Free probability, introduced by Voiculescu in the 1980\u2019s is a powerful tool to study asymptotic properties of natural random matrix ensembles. One major drawback though is [\u2026] <\/p>\n
\nhttps:\/\/twitter.com\/Bilkent_math<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"