Ken Dykema - Multilinear function series and transforms in free probability

The problems of additive and multiplicative free convolution are to compute moments of the sum and product of free random variables. Different solutions to these problems have exemplified the connection between analytic and combinatorial approaches to free probability theory. In this talk, we'll present recent results on multiplicative free convolution over a noncommutative Banach algebra, and we'll introduce the formalism of multilinear function series, which yields new combinatorial structures.

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Last updated May 31, 2005. This page was created and is maintained by Stephen Wills (s.wills@ucc.ie).