[Turkmath:2941] Bilkent Üniversitesi Matematik Bölümü Semineri

[Bilkent Mathematics]

Değerli liste üyeleri,

 

Bilkent Analiz seminerleri kapsamında 17 Nisan'da Mohan Ravichandran (Mimar
Sinan Üniversitesi)konuşma verecektir. İlgilenen herkes davetlidir. 

 

"Finite Free Probability"

Mohan Ravichandran (Mimar Sinan University)

 

 

Abstract: Free probability, introduced by Voiculescu in the 1980's 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 'free random variables' 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 'finite freeness' using certain
natural convolutions on univariate polynomials and showed that this yields
Voiculescu's 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.

 

Tarih: 17 Nisan 2018 Salı, 16:00  Bilkent Matematik Bölümü Seminer Odası SA
- 141 

 

Konuşma öncesinde çay-kurabiye ikramı yapılacaktır. 

 

https://twitter.com/Bilkent_math

 

İ. D. Bilkent Üniversitesi Matematik Bölümü

 

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