N. Athmouni

activity

20092025

most citedOn the continuity of spectra for families of magnetic pseudodifferential operators

25 citations · 25 across the 9 of their papers we have counts for

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math.SP2025

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…

math.SP2025

Interior Spectral Windows and Transport for Discrete Fractional Laplacians on $d$ -Dimensional Hypercubic Lattices

Nassim Athmouni

We study anisotropic fractional discrete Laplacians $Δ_{Z^{d}}^{r}$ with exponents $r \in R^{d} ∖ {0}$ on $ℓ^{2} (Z^{d})$ .…

math.SP2019

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…

Spectral and Dynamical Analysis of Fractional Discrete Laplacians on the Half-Lattice

Interior Spectral Windows and Transport for Discrete Fractional Laplacians on d-Dimensional Hypercubic Lattices

Spectral analysis of the Laplacian acting on discrete cusps and funnels

Interior Spectral Windows and Transport for Discrete Fractional Laplacians on $d$ -Dimensional Hypercubic Lattices