10 citations · 21 across the 18 of their papers we have counts for
18 papers
-Deformed Topological Recursion: Quantum Curves and Non-perturbative Analysis
Fridolin Melong, Raimar Wulkenhaar
This work investigates the -deformation of -Airy structures and their realization via -difference operators, providing a bridge between quantum spectral curves and int…
-Deformed Topological Recursion, Weight Vectors and Algebraic Structures
Fridolin Melong, Raimar Wulkenhaar
We investigate a -deformation of the shifted topological recursion, extending the construction of Belliard-Bouchard-Kramer-Nelson to the context of quantum algebras. Through the…
Confinement-Tunable Synthetic Gauge Fields and Floquet Topological Phenomena in a Driven Quantum Wire Qubit
Feulefack Ornela Claire, Dongmo Tedo Lynsia Saychele, Danga Jeremie Edmond +6
Theoretical analysis indicates that a spin qubit in a parabolic quantum wire, when driven by a bichromatic field, generates a confinement-tunable non-Abelian synthetic gauge field…
Generalized super---algebra and Landau Problem
Fridolin Melong, Raimar Wulkenhaar
We investigate the -super -bracket and study their properties such that the generalized super Jacobi identity (GJSI). Furthermore, from the -…
Characterization of the -n-algebra and applications
Fridolin Melong, Raimar Wulkenhaar
In this paper, we construct the -n-algebras in the framework of the generalized quantum algebra. We characterize the -multi-variable -…
Asymptotic normality and strong consistency of kernel regression estimation in q-calculus
Emmanuel De Dieu Nkou, Fridolin Melong
We construct a family of estimators for a regression function based on a sample following a qdistribution. Our approach is nonparametric, using kernel methods built from operations…
Multi-parameter Fermi-Dirac and Bose-Einstein Stochastic Distributions
Fridolin Melong, Mahouton Norbert Hounkonnou
In this paper, we characterize the multivariate uniform probability distribution of the first and second kinds in the framework of the -deformed quantum algebras.…
Conformal super Virasoro algebra: matrix model and quantum deformed algebra
Fridolin Melong
In this paper, we construct the super Virasoro algebra with an arbitrary conformal dimension from the generalized -deformed quantum algebra and investigate th…
Generalized Heisenberg-Virasoro algebra and matrix models from quantum algebra
Fridolin Melong, Raimar Wulkenhaar
In this paper, we construct the Heisenberg-Virasoro algebra in the framework of the -deformed quantum algebras. Moreover, the -Heisenberg-Witt $…
-multivariate discrete probability distributions
Fridolin Melong
We construct the multivariate probability distributions (Pólya, inverse Pólya, hypergeometric and negative hypergeometric) from the generalized quantum algebra. Moreover, we derive…
-trinomial probability distribution: properties and particular cases
Fridolin Melong
In this paper, we investigate the trinomial probability distribution of the first and second kind from the -quantum algebras. Moreover, we compute their $\mathcal…
Multinomial probability distribution and quantum deformed algebras
Fridolin Melong
The multinomial coefficient and their recurrence relations from the generalized quantum deformed algebras are examined. Moreover, the deformed multinomial proba…
-deformed super Virasoro -algebra
Fridolin Melong
In this paper, we construct the super Witt algebra and super Virasoro algebra in the framework of the -deformed quantum algebras. Moreover, we perform the super $…
Generalized Witt and Witt n-algebras, Virasoro algebras and constraints, and KdV equations from R(p,q)-deformed quantum algebras
Mahouton Norbert Hounkonnou, Fridolin Melong, Melanija Mitrovic
We perform generalizations of Witt and Virasoro algebras, and derive the corresponding Korteweg-de Vries equations from known R(p,q)-deformed quantum algebras previously introduced…
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…