Subordination Problems Related to Free Probability (10rit159)


(Texas A & M University)

Serban Belinschi (Department of Mathematics and Statistics, University of Saskatchewan)

Maxime Fevrier (Universite Paul Sabatier, Institut de Mathematiques de Toulouse)

(University of Waterloo)


The Banff International Research Station will host the "Subordination Problems Related to Free Probability" workshop from August 15 to 22, 2010.

Free probability is a line of research which parallels aspects of classical probability, in a context where tensor products are replaced by free products, and independent random variables are replaced by free noncommutative random variables. Free probability originated in the 1980s, as a line of attacking some longstanding problems about free products of operator algebras. Since then, it has emerged as a subject in its own right, with connections to several other parts of mathematics, and (via its relation to random matrices) to the study of wireless communications in electrical engineering.rnrnA current topic of research within free probability is the use of analytic subordination (a well-known tool from classical complex analysis) in order to study certain types of convolution operations performed on free random variables. We propose to address several inter-related problems arising in connection to this concept.

The Banff International Research Station for Mathematical Innovation and Discovery (BIRS) is a collaborative Canada-US-Mexico venture that provides an environment for creative interaction as well as the exchange of ideas, knowledge, and methods within the Mathematical Sciences, with related disciplines and with industry. The research station is located at The Banff Centre in Alberta and is supported by Canada's Natural Science and Engineering Research Council (NSERC), the US National Science Foundation (NSF), Alberta's Advanced Education and Technology, and Mexico's Consejo Nacional de Ciencia y Tecnologia (CONACYT).