Eigenvalue asymptotics for Schrödinger operators on sparse graphs
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | BONNEFONT, Michel | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | GOLENIA, Sylvain | |
| hal.structure.identifier | Mathematisches Institut, Friedrich Schiller Universität Jena | |
| dc.contributor.author | KELLER, Matthias | |
| dc.date.accessioned | 2024-04-04T02:19:51Z | |
| dc.date.available | 2024-04-04T02:19:51Z | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/189440 | |
| dc.description.abstractEn | We consider Schrödinger operators on sparse graphs. The geometric definition of sparseness turn out to be equivalent to a functional inequality for the Laplacian. In consequence, sparseness has in turn strong spectral and functional analytic consequences. Specifically, one consequence is that it allows to completely describe the form domain. Moreover, as another consequence it leads to a characterization for discreteness of the spectrum. In this case we determine the first order of the corresponding eigenvalue asymptotics. | |
| dc.language.iso | en | |
| dc.subject.en | discrete laplacian | |
| dc.subject.en | eigenvalues | |
| dc.subject.en | asymptotic | |
| dc.subject.en | planarity | |
| dc.subject.en | sparse | |
| dc.subject.en | functional inequality | |
| dc.title.en | Eigenvalue asymptotics for Schrödinger operators on sparse graphs | |
| dc.type | Document de travail - Pré-publication | |
| dc.subject.hal | Mathématiques [math]/Théorie spectrale [math.SP] | |
| dc.subject.hal | Mathématiques [math]/Analyse fonctionnelle [math.FA] | |
| dc.identifier.arxiv | 1311.7221 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| hal.identifier | hal-00910384 | |
| hal.version | 1 | |
| hal.audience | Non spécifiée | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-00910384v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.au=BONNEFONT,%20Michel&GOLENIA,%20Sylvain&KELLER,%20Matthias&rft.genre=preprint |
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