2 citations · 2 across the 4 of their papers we have counts for
5 papers
Asymptotic distributions of Wishart type products of random matrices
Romuald Lenczewski, Rafał Sałapata
We study asymptotic distributions of large dimensional random matrices of the form , where is a product of rectangular random matrices, using free probability and c…
Multivariate Fuss-Narayana polynomials and their application to random matrices
Romuald Lenczewski, Rafal Salapata
It has been shown recently that the limit moments of , where B(n) is a product of independent rectangular random matrices, are certain homogenous polynomials…
Noncommutative Brownian motions with Kesten distributions and related Poisson processes
Romuald Lenczewski, Rafal Salapata
We introduce and study a noncommutative two-parameter family of noncommutative Brownian motions in the free Fock space. They are associated with Kesten laws and give a continuous i…
Decompositions of the free product of graphs
Luigi Accardi, Romuald Lenczewski, Rafal Salapata
We study the free product of rooted graphs and its various decompositions using quantum probabilistic methods. We show that the free product of rooted graphs is canonically associa…
Discrete interpolation between monotone probability and free probability
Romuald Lenczewski, Rafal Salapata
We construct a sequence of states called m-monotone product states which give a discrete interpolation between the monotone product of states of Muraki and the free product of stat…