2 papers
math.PR2025
Combinatorial Aspects of Weighted Free Poisson Random Variables
Nobuhiro Asai, Hiroaki Yoshida
This paper will be devoted to study weighted (deformed) free Poisson random variables from the viewpoint of orthogonal polynomials and statistics of non-crossing partitions. A fami…
math.CO2025
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…