SPECTRAL ANALYSIS OF THE MAGNETIC LAPLACIAN ACTING ON DISCRETE FUNNELS
Nassim Athmouni, Marwa Ennaceur, Sylvain Golénia · arXiv (Cornell University) · 2025
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 and a Limiting Absorption Principle away from possible embedded eigenvalues. The approach is based on a positive commutator technique.