Information: The lecture is intended as an introduction of the basic notions, constructions, models and problems in noncommutative probability. Basic
knowledge of classical probability, measure theory and functional analysis would be helpful but not required.
In particular the notions of probability space, random variable (= r.v.), expectation of r.v., distribution of r.v., moments of r.v. in
classical probability and their analogues in noncommutative probability will be discussed. The crucial notion of independence will be
defined in various models, containing free independence, monotonic independence, boolean independence and some of their mixtures:
bm-independence and bf-independence. These will lead to various notions of convolutions of probability measures and noncommutative analogues
of the classical Central Limit Theorem.
Graduate (i.e. Master programme) students and PhD students are welcome to attend this course.
