Spectral analysis of The magnetic Laplacian acting on discrete funnels
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866912472054628352 |
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| author | Athmouni, Nassim Ennaceur, Marwa Golénia, Sylvain |
| author_facet | Athmouni, Nassim Ennaceur, Marwa Golénia, Sylvain |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_05766 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Spectral analysis of The magnetic Laplacian acting on discrete funnels Athmouni, Nassim Ennaceur, Marwa Golénia, Sylvain Mathematical Physics Spectral Theory 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. |
| title | Spectral analysis of The magnetic Laplacian acting on discrete funnels |
| topic | Mathematical Physics Spectral Theory |
| url | https://arxiv.org/abs/2507.05766 |