Analyse spectral du Laplacien discret agissant sur les cusps et les funnels
| hal.structure.identifier | Faculté des Sciences de Gafsa | |
| dc.contributor.author | ATHMOUNI, Nassim | |
| hal.structure.identifier | Faculté des Sciences de Sfax [FSS] | |
| dc.contributor.author | ENNACEUR, Marwa | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | GOLENIA, Sylvain | |
| dc.date.accessioned | 2024-04-04T02:55:08Z | |
| dc.date.available | 2024-04-04T02:55:08Z | |
| dc.date.issued | 2020-11-23 | |
| dc.identifier.issn | 1661-8254 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/192336 | |
| dc.description.abstract | Nous étudions le Laplacien agissant sur un cusp discret et un funnel discret. Nous ajoutons une perturbation longue-portée à la métrique. Puis, nous établissons un principe d'absorption limite en dehors des possibles valeurs propres plongées. Notre approche est basée sur une technique de commutateurs positifs. | |
| dc.description.abstractEn | 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. | |
| dc.language.iso | en | |
| dc.publisher | Springer Verlag | |
| dc.subject.en | commutator | |
| dc.subject.en | Mourre estimate | |
| dc.subject.en | limiting absorption principle | |
| dc.subject.en | discrete Laplacian | |
| dc.subject.en | locally finite graphs | |
| dc.title | Analyse spectral du Laplacien discret agissant sur les cusps et les funnels | |
| dc.title.en | Spectral analysis of the Laplacian acting on discrete cusps and funnels | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.1007/s11785-020-01053-8 | |
| dc.subject.hal | Mathématiques [math]/Théorie spectrale [math.SP] | |
| dc.subject.hal | Mathématiques [math]/Analyse fonctionnelle [math.FA] | |
| dc.subject.hal | Physique [physics]/Physique mathématique [math-ph] | |
| dc.identifier.arxiv | 1902.04467 | |
| bordeaux.journal | Complex Analysis and Operator Theory | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-02000996 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-02000996v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.title=Analyse%20spectral%20du%20Laplacien%20discret%20agissant%20sur%20les%20cusps%20et%20les%20funnels&rft.atitle=Analyse%20spectral%20du%20Laplacien%20discret%20agissant%20sur%20les%20cusps%20et%20les%20funnels&rft.jtitle=Complex%20Analysis%20and%20Operator%20Theory&rft.date=2020-11-23&rft.eissn=1661-8254&rft.issn=1661-8254&rft.au=ATHMOUNI,%20Nassim&ENNACEUR,%20Marwa&GOLENIA,%20Sylvain&rft.genre=article |
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