Free Probability, Extensions, and Applications (08w5076)

Arriving in Banff, Alberta Sunday, January 13 and departing Friday January 18, 2008


(University of Waterloo)

(Queen's University)

Antonia Tulino (Università degli Studi di Napoli Federico II)

Dan Voiculescu (University of California, Berkeley)


One direction of emphasis of the proposed workshop is to bring together
researchers specialized in free probability, and people who use free
probability in applied problems. Up to now there there was no meeting of
this size which brought these communities together. On the application side
we have especially in mind electrical engineers who use random matrices
and free probability to describe multiuser telecommunication systems, and
people who work on the computational side of random matrices (as explained
in part 2 of the overview section of the proposal). We will aim to have
an overall applied participation in the order of 10 persons. Special
attention will be given to having expository talks on what are the
important problems for the applied people.

Another direction of emphasis will be on attempts to extend the framework of free probability (as explained in part 3 of the overview section of the
proposal). Clearly, we hope that the problems arising in applications will
provide new motivations and ideas for such extensions.

It has also turned out in recent years that free probability is quite
attractive and promising for young people. There are a lot of interesting
problems posed on a level that is accessible to graduate students and
postdoctoral fellows. We want to continue this trend and incorporate a
few such young people in the programme of the workshop.