Three-point correlations for quantum star graphs
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | CHABANOL, Marie-Line | |
| dc.date.accessioned | 2024-04-04T03:09:39Z | |
| dc.date.available | 2024-04-04T03:09:39Z | |
| dc.date.created | 2007-06-21 | |
| dc.date.issued | 2007 | |
| dc.identifier.issn | 1751-8113 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/193624 | |
| dc.description.abstractEn | We compute the three point correlation function for the eigenvalues of the Laplacian on quantum star graphs in the limit where the number of edges tends to infinity. This extends a work by Berkolaiko and Keating, where they get the 2-point correlation function and show that it follows neither Poisson, nor random matrix statistics. It makes use of the trace formula and combinatorial analysis. | |
| dc.language.iso | en | |
| dc.publisher | IOP Publishing | |
| dc.title.en | Three-point correlations for quantum star graphs | |
| dc.type | Article de revue | |
| dc.subject.hal | Mathématiques [math]/Physique mathématique [math-ph] | |
| dc.subject.hal | Physique [physics]/Physique mathématique [math-ph] | |
| dc.identifier.arxiv | 0706.3142 | |
| bordeaux.journal | Journal of Physics A: Mathematical and Theoretical | |
| bordeaux.page | 13535 | |
| bordeaux.volume | 40 | |
| 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-00156646 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| dc.subject.pt | Quantum graphs | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-00156646v1 | |
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