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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 -Dimensional Hypercubic Lattices
Nassim Athmouni
We study anisotropic fractional discrete Laplacians with exponents on .…
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…