Nica’s q-Convolution is Not Positivity Preserving

Addition of certain non-commuting random variables

Dan Voiculescu · Journal of Functional Analysis · 1986 · 531 citations

Natural Sciences, Mathematics, Probability Theory +6

An example of a generalized Brownian motion

Marek Bożejko, Roland Speicher · Communications in Mathematical Physics · 1991 · 360 citations

Engineering, Finance, Probability Theory +10

Multiplicative functions on the lattice of non-crossing partitions and free convolution

Roland Speicher · Mathematische Annalen · 1994 · 321 citations

Natural Sciences, Computer Science, Mathematics +10

Partition-dependent stochastic measures and $q$-deformed cumulants

Michael Anshelevich · Documenta Mathematica · 2001 · 63 citations · Full text

Engineering, Mathematics, Probability Theory +10

A one-parameter family of transforms, linearizing convolution laws for probability distributions

Alexandru Nica · Communications in Mathematical Physics · 1995 · 48 citations

Natural Sciences, Computer Science, Mathematics +13