Non-commutative Brownian motions and Levy processes with applications to free probability and von Neumann algebras

Marek Bozejko (University of Wroclaw)

Tuesday, April 21, 2015, 14:30 – 15:30, Math -101

Abstract:

The subject of my talk will be the following topics: 1. Classical and non-commutative Brownian motions with realization on some Fock spaces.

  1. q-Brownian motions,q-CCR relations (a a- qa a =1) and theta functions of Jacobi.

  2. Meixner-Levy processes and relation to the free Levy processes.

4.Factorial q-von Neumann algebras and ultracontractivity of q-Ornstein-Uhlenbeck semigroup.