Lévy laws in free probability
AUTOR(ES)
Barndorff-Nielsen, Ole E.
FONTE
National Academy of Sciences
RESUMO
This article and its sequel outline recent developments in the theory of infinite divisibility and Lévy processes in free probability, a subject area belonging to noncommutative (or quantum) probability. The present paper discusses the classes of infinitely divisible probability measures in classical and free probability, respectively, via a study of the Bercovici–Pata bijection between these classes.