N. Athmouni

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20182025

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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 $ℓ^{2} (Z^{d})$ .…

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

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