Operator-valued Non-Commutative Probability and Analytic Functions, Part 2
David Jekel
University of California, Los Angeles (UCLA)
Mathematics
We survey results about operator-valued free, boolean, and monotone independence and the analytic transforms associated to each one. We emphasize the parallels between the different types of independence and in particular Bercovici-Pata-type bijections between infinitely divisible laws.