Spectral analysis of the Laplacian acting on discrete cusps and funnels

Nassim Athmouni; Marwa Ennaceur; Sylvain Golenia

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arXiv · 1902.04467

Spectral analysis of the Laplacian acting on discrete cusps and funnels

Nassim Athmouni·Marwa Ennaceur·Sylvain Golenia

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Abstract

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 propagation estimate and a Limiting Absorption Principle away from the possible embedded eigenvalues. The approach is based on a positive commutator technique.

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BibTeX RIS

Nassim Athmouni, Marwa Ennaceur, Sylvain Golenia. 2019-02-12. Spectral analysis of the Laplacian acting on discrete cusps and funnels. https://arxiv.org/abs/1902.04467

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