8 citations · 10 across the 3 of their papers we have counts for
4 papers
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…
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…
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…
Fock representations of -deformed commutation relations
Marek Bożejko, Eugene Lytvynov, Janusz Wysoczański
We consider Fock representations of the -deformed commutation relations Here (or…