215 citations · 438 across the 16 of their papers we have counts for
18 papers
Deformations and q-convolutions. Old and new results
Marek Bozejko, Wojciech Bozejko
This paper is the survey of some of our results related to -deformations of the Fock spaces and related to -convolutions for probability measures on the real line $\mathbb{R}…
Positive definite functions on Coxeter groups with applications to operator spaces and noncommutative probability
Marek Bożejko, Światosław R. Gal, Wojciech Młotkowski
A new class of positive definite functions related to colour-length function on arbitrary Coxeter group is introduced. Extensions of positive definite functions, called the Riesz-C…
An extended anyon Fock space and noncommutative Meixner-type orthogonal polynomials in infinite dimensions
Marek Bozejko, Eugene Lytvynov, Irina Rodionova
Let be a finite measure on whose Laplace transform is analytic in a neighborhood of zero. An anyon Lévy white noise on is a certain family of non…
On free infinite divisibility for classical Meixner distributions
Marek Bozejko, Takahiro Hasebe
We prove that symmetric Meixner distributions, whose probability densities are proportional to , are freely infinitely divisible for . The case $t=…
Generalized Gaussian processes and relations with random matrices and positive definite functions on permutation groups
Marek Bozejko, Wojciech Bozejko
The main purpose of this paper of the paper is an explicite construction of generalized Gaussian process with function , where , is the number…
Non-commutative Lévy processes for generalized (particularly anyon) statistics
Marek Bozejko, Eugene Lytvynov, Janusz Wysoczanski
Let . Let a function satisfy and . A generalized statistics is described by creation operators a…