Free Calculus
Operator Algebras
2007-05-23 v2 Combinatorics
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.
Keywords
Cite
@article{arxiv.math/0104004,
title = {Free Calculus},
author = {Roland Speicher},
journal= {arXiv preprint arXiv:math/0104004},
year = {2007}
}
Comments
manuscript for my talks at the summer school on 'Quantum Probability' in Grenoble 1998; to appear soon in a special QP-volume