Free Calculus
arXiv:math/0104004
Abstract
I give a survey about my work on combinatorial and probabilistic aspects of free probability theory. In particular, I present the combinatorial description of freeness in terms of free cumulants and I give some ideas of the main results of my joint work with Philippe Biane on a stochastic integration theory for free Brownian motion.
manuscript for my talks at the summer school on 'Quantum Probability' in Grenoble 1998; to appear soon in a special QP-volume