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.
cite arxiv:math/0104004Comment: manuscript for my talks at the summer school on 'Quantum Probability' in Grenoble 1998; to appear soon in a special QP-volume
%0 Report
%1 speicher2001calculus
%A Speicher, Roland
%D 2001
%K calculus probability theory
%T Free Calculus
%U http://arxiv.org/abs/math/0104004
%X 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.
@techreport{speicher2001calculus,
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.},
added-at = {2020-02-06T15:19:30.000+0100},
author = {Speicher, Roland},
biburl = {https://www.bibsonomy.org/bibtex/21ebef4160827b9e0c4a71fa4cfe31839/kirk86},
description = {[math/0104004] Free Calculus},
interhash = {04c28cddb2a52c268e470e837c10ceda},
intrahash = {1ebef4160827b9e0c4a71fa4cfe31839},
keywords = {calculus probability theory},
note = {cite arxiv:math/0104004Comment: manuscript for my talks at the summer school on 'Quantum Probability' in Grenoble 1998; to appear soon in a special QP-volume},
timestamp = {2020-02-06T15:19:30.000+0100},
title = {Free Calculus},
url = {http://arxiv.org/abs/math/0104004},
year = 2001
}