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Mild introduction to free probability

Piotr Sniady
Uniwersytet Wroclawski
Nov. 25, 2003, 3:15 p.m.
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Seminar of Probability Group

Free probability theory was initiated around 1985 by Voiculescu in order to answer some questions concerning certain von Neumann algebras. Today is a self--standing mathematical theory with fascinating links to topics such as random matrices, asymptotic representation theory of symmetric groups, combinatorics, classical probability, operator algebras and many others. During the talk I would like to present a simple combinatorial introduction to the foundations of this theory and present very briefly some applications.