2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/61197I 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-volumeOperator AlgebrasCombinatorics46L54text