2 citations · 2 across the 2 of their papers we have counts for
3 papers
math.PR2024
General limit theorems for mixtures of free, monotone, and boolean independence
David Jekel, Lahcen Oussi, Janusz Wysoczański
We study mixtures of free, monotone, and Boolean independence described by a directed graph in the context of -free convolutions of Jekel and Liu. We prove…
math.CO2022★ 2 cited
Analogues of Poisson type limit theorems in discrete bm-Fock spaces
Lahcen Oussi, Janusz Wysoczański
We present analogues of the Poisson limit distribution for the noncommutative bm-independence, which is associated with several positive symmetric cones. We construct related discr…
math.FA2016
Rank two perturbations of matrices and operators and operator model for t-transformation of probability measures
Anna Kula, Michal Wojtylak, Janusz Wysoczański
Rank two parametric perturbations of operators and matrices are studied in various settings. In the finite dimensional case the formula for a characteristic polynomial is derived a…