2001/03/31 by Roland Speicher, Speicher, Roland · 1 citation
Mathematics · #46L54 #Advanced Topology and Set Theory #Combinatorics (math.CO) #FOS: Mathematics #Mathematical Dynamics and Fractals #Operator Algebras (math.OA) #Probability and Statistical Research #math.CO #math.OA #msc:46L54
paper · pdf · doi:10.48550/arxiv.math/0104004
manuscript for my talks at the summer school on 'Quantum Probability' in Grenoble 1998; to appear soon in a special QP-volume
openalex publication_date 2001/03/31 · arxiv created 2001/04/17 · arxiv updated 2009/11/30 · openalex created_date 2024/04/11 · openalex updated_date 2026/07/28
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.