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hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorCHABANOL, Marie-Line
dc.date.accessioned2024-04-04T03:09:39Z
dc.date.available2024-04-04T03:09:39Z
dc.date.created2007-06-21
dc.date.issued2007
dc.identifier.issn1751-8113
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/193624
dc.description.abstractEnWe 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.isoen
dc.publisherIOP Publishing
dc.title.enThree-point correlations for quantum star graphs
dc.typeArticle de revue
dc.subject.halMathématiques [math]/Physique mathématique [math-ph]
dc.subject.halPhysique [physics]/Physique mathématique [math-ph]
dc.identifier.arxiv0706.3142
bordeaux.journalJournal of Physics A: Mathematical and Theoretical
bordeaux.page13535
bordeaux.volume40
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-00156646
hal.version1
hal.popularnon
hal.audienceInternationale
dc.subject.ptQuantum graphs
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-00156646v1
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