[Turkmath:2799] Galatasaray Üniversitesi Matematik Bölüm Seminerleri (07.03.2018)

[Buse Fırat]

Değerli liste üyeleri,

7 Mart 2018 Çarşamba günü, Galatasaray Üniversitesi Matematik Bölüm Seminerleri kapsamında, Mohan Ravichandran, ''Finite free probability'' başlıklı bir konuşma verecektir. Konuşma saat 13:30'da, FEF 7 numarali sınıfta yapılacaktır. Konuşma detayları aşağıdadır.


Seminere tüm liste üyeleri davetlidir.


Saygılarımla,

Buse Fırat

http://math.gsu.edu.tr/seminar.html


Başlık: ''Finite free probability''

Özet:  Free probability, introduced by Voiculescu in the early 1980's is a general method to study asymptotic statistics of random matrices. It also provides a parallel theory of probability with the notion of independence replaced by so called 'freeness'. Research over the the last three decades has shown the existence of 'free' analogues of results ranging from central limit theorems to the existence of Brownian motion to De Finetti type theorems in free probability. Freeness however does not exist in finite dimensions and as such free probability is inherently qualitative in the results it yields for random matrices. In 2015, Adam Marcus proposed a theory called 'finite free probability' that seems capable of providing non-asymptotic results. There are several questions that are wide open in this new setting and I will mention some current work of mine that seems to clarify at least one of them.
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