The First Learned Society of Wales Frontiers Lecture

Probability and Analysis at the Highest Degree of Non-commutativity

by Professor Dan-Virgil Voiculescu, University of California, Berkeley

in the Wallace Lecture Theatre, Cardiff University

at 5.00 p.m. Monday, 28 June 2010

 

Free probability theory is a mathematical theory developed over the last 25 years which describes randomness when non-commutativity is at its highest. Parallel to a large part of classical probability the theory has models in random matrices, operator algebras and combinatorics. Related free analysis mathematical tools have begun appearing.

 

Professor Voiculescu received the 2004 NAS award in Mathematics from the National Academy of Sciences in the USA for “the theory of free probability, in particular, using random matrices and a new concept of entropy to solve several hitherto intractable problems in von Neumann algebras.” He was elected to the National Academy of Sciences in 2006.

 

Frontiers is a lecture series in which distinguished academics are invited to speak about the frontiers of research and to place their own contributions in context.

 

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