19 citations · 53 across the 7 of their papers we have counts for
8 papers
A Poisson Type Operator Deformed by Generalized Fibonacci Numbers and Its Combinatorial Moment Formula
Nobuhiro Asai, Marek Bożejko, Lahcen Oussi +1
We introduce a two-parameter deformation of the classical Poisson distribution from the viewpoint of noncommutative probability theory, by defining a -Poisson type operator…
The Double Fock Space of Type B
Marek Bożejko, Wiktor Ejsmont
In this article, we introduce the notion of a double Fock space of type B. We will show that this new construction is compatible with combinatorics of counting positive and negativ…
Reflection length with two parameters in the asymptotic representation theory of type B/C and applications
Marek Bożejko, Maciej Dołęga, Wiktor Ejsmont +1
We introduce a two-parameter function on the infinite hyperoctahedral group, which is a bivariate refinement of the reflection length keeping track of the long and th…
Noncommutative probability of type D
Marek Bożejko, Wiktor Ejsmont, Takahiro Hasebe
We construct a deformed Fock space and a Brownian motion coming from Coxeter groups of type D. The construction is analogous to that of the -Fock space (of type A) and the $(α,q…
Fock representations of -deformed commutation relations
Marek Bożejko, Eugene Lytvynov, Janusz Wysoczański
We consider Fock representations of the -deformed commutation relations Here (or…
Approximation of a free Poisson process by systems of freely independent particles
Marek Bożejko, José Luís da Silva, Tobias Kuna +1
Let be a non-atomic, infinite Radon measure on , for example, where . We consider a system of freely independent particles in a…
Radial Bargmann representation for the Fock space of type B
Nobuhiro Asai, Marek Bożejko, Takahiro Hasebe
Let be the probability and orthogonality measure for the -Meixner-Pollaczek orthogonal polynomials, which has appeared in \cite{BEH15} as the distribution of the $(α,q…
Fock space associated to Coxeter group of type B
Marek Bożejko, Wiktor Ejsmont, Takahiro Hasebe
In this article we construct a generalized Gaussian process coming from Coxeter groups of type B. It is given by creation and annihilation operators on an -Fock space, which…