4 papers
R(p,q)-deformed combinatorics: full characterization and illustration
Mahouton Norbert Hounkonnou, Fridolin Melong
This paper addresses a theory of R(p,q)-deformed combinatorics in discrete probability. It mainly focuses on R(p,q)-deformed factorials, binomial coefficients, Vandermonde's formul…
R(p,q)- analogs of discrete distributions: general formalism and application
Mahouton Norbert Hounkonnou, Fridolin Melong
In this paper, we define and discuss - deformations of basic univariate discrete distributions of the probability theory. We mainly focus on binomial, Euler, Póly…
R(p,q)-deformed conformal Virasoro algebra
Mahouton Norbert Hounkonnou, Fridolin Melong
This paper addresses an R(p,q)-deformed conformal Virasoro algebra with an arbitrary conformal dimension Delta. Wellknown deformations constructed in the literature are deduced as…
Geometry and probability on the noncommutative 2-torus in a magnetic field
Mahouton Norbert Hounkonnou, Fridolin Melong
In this work, we describe the geometric and probabilistic properties of a noncommutative 2- torus in a magnetic field. We study the volume invariance, integrated scalar curvature a…