6 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 demonstrates that a spin qubit in a parabolic quantum wire, when driven by a bichromatic field, exhibits a confinement-tunable synthetic gauge field leading to…
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…