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Spectral analysis of The magnetic Laplacian acting on discrete funnels

Published 8 Jul 2025 in math-ph, math.MP, and math.SP | (2507.05766v1)

Abstract: 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.

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