Random Sturm-Liouville operators with generalized point interactions

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dc.citation.firstpage1101
dc.citation.issueNumber4
dc.citation.journalTitleOperators and Matrices
dc.citation.lastpage1125
dc.citation.volumeNumber14
dc.contributor.authorDamanik, David
dc.contributor.authordel Rio, Rafael
dc.contributor.authorFranco, Asaf L.
dc.date.accessioned2021-03-04T20:36:16Z
dc.date.available2021-03-04T20:36:16Z
dc.date.issued2020
dc.description.abstractIn this work we study the point spectra of selfadjoint Sturm-Liouville operators with generalized point interactions, where the two one-sided limits of the solution data are relatedvia a general SL(2,R)matrix. We are particularly interested in the stability of eigenvalues withrespect to the variation of the parameters of the interaction matrix. As a particular applicationto the case of random generalized point interactions we establish a version of Pastur’s theorem,stating that except for degenerate cases, any given energy is an eigenvalue only with probabilityzero. For this result, independence is importantbut identical distribution is not required, andhence our result extends Pastur’s theoremfrom the ergodic setting to the non-ergodic setting.
dc.identifier.citationDamanik, David, del Rio, Rafael and Franco, Asaf L.. "Random Sturm-Liouville operators with generalized point interactions." <i>Operators and Matrices,</i> 14, no. 4 (2020) Element d.o.o.: 1101-1125. https://doi.org/10.7153/oam-2020-14-66.
dc.identifier.doihttps://doi.org/10.7153/oam-2020-14-66
dc.identifier.urihttps://hdl.handle.net/1911/110131
dc.language.isoeng
dc.publisherElement d.o.o.
dc.rightsThis is an author's peer-reviewed final manuscript, as accepted by the publisher. The published article is copyrighted by Element d.o.o.
dc.subject.keywordSturm-Liouville operators
dc.subject.keywordpoint interactions
dc.subject.keywordeigenvalue problem
dc.titleRandom Sturm-Liouville operators with generalized point interactions
dc.typeJournal article
dc.type.dcmiText
dc.type.publicationpost-print
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