Free Calculus

Mathematics – Operator Algebras

Scientific paper

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manuscript for my talks at the summer school on 'Quantum Probability' in Grenoble 1998; to appear soon in a special QP-volume

Scientific paper

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.

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