25 citations · 25 across the 9 of their papers we have counts for
12 papers
Explicit Baker--Campbell--Hausdorff Radii in Special Banach--Malcev Algebras of Shifts
Nassim Athmouni
We establish explicit convergence radii for the Baker--Campbell--Hausdorff (BCH) series in special Banach--Malcev algebras of shifts-those embeddable into a Banach alternative alge…
Boundary Cochains and the Toeplitz Index on the Half-Lattice
Nassim Athmouni
We study the operator algebra of a rank-one boundary defect in a semi-infinite tight-binding chain, on , with the forward unilat…
Spectral and Dynamical Analysis of Fractional Discrete Laplacians on the Half-Lattice
Nassim Athmouni
We investigate discrete fractional Laplacians defined on the half-lattice in several dimensions, allowing possibly different fractional orders along each coordinate direction. By e…
Local Rigidity of Quasi--Lie Brackets on Quaternionic Banach Modules and Applications to Nonlinear PDEs
Nassim Athmouni
We establish a local rigidity theorem for quasi--Lie brackets on quaternionic Banach right modules. Under quantitative control of antisymmetry and Jacobi defects, we construct an e…
Interior Spectral Windows and Transport for Discrete Fractional Laplacians on -Dimensional Hypercubic Lattices
Nassim Athmouni
We study anisotropic fractional discrete Laplacians with exponents on .…
Spectral analysis of The magnetic Laplacian acting on discrete funnels
Nassim Athmouni, Marwa Ennaceur, Sylvain Golénia
We study perturbations of the discrete magnetic Laplacian associated to discrete analogs of funnels. We perturb the metric in a long-range way. We establish a propagation estimate…
Limiting absorption principle for long-range perturbation in a graphene setting
Nassim Athmouni, Marwa Ennaceur, Sylvain Golenia +1
In this paper, we examine the discrete Laplacian acting on a hexagonal lattice by introducing long-range modifications in both the metric and the potential. Our objective is to est…
Limiting absorption principle for long-range perturbation in the discrete triangular lattice setting
Nassim Athmouni, Marwa Ennaceur, Sylvain Golenia +1
We examine the discrete Laplacian acting on a triangular lattice, introducing long-range perturbations to both the metric and the potential. Our goal is to establish a Limiting Abs…
Spectral analysis of the Laplacian acting on discrete cusps and funnels
Nassim Athmouni, Marwa Ennaceur, Sylvain Golenia
We study perturbations of the discrete Laplacian associated to discrete analogs of cusps and funnels. We perturb the metric and the potential in a long-range way. We establish a pr…
On the ascent-descent spectrum
Nassim Athmouni, Mondher Damak, Chiraz Jendoubi
We establish the various properties as well as diverse relations of the ascent and descent spectra for bounded linear operators. We specially focus on the theory of subspectrum. Fu…
A Schatten -von Neumann class criterion for the magnetic Weyl calculus
Nassim Athmouni, Radu Purice
We prove criteria for a {\it 'magnetic' Weyl operator} to be in a Schatten-von Neuman class by extending a method developed by H. Cordes, T. Kato and G. Arsu.
On the continuity of spectra for families of magnetic pseudodifferential operators
Nassim Athmouni, Marius Mantoiu, Radu Purice
For families of magnetic pseudodifferential operators defined by symbols and magnetic fields depending continuously on a real parameter , we show that the corresponding family o…