Anderson Hamiltonians with singular potentials

dc.bibliographicCitation.seriesTitleWIAS Preprintseng
dc.bibliographicCitation.volume2976
dc.contributor.authorMatsuda, Toyomu
dc.contributor.authorvan Zuijlen, Willem
dc.date.accessioned2026-03-23T14:08:39Z
dc.date.available2026-03-23T14:08:39Z
dc.date.issued2022
dc.description.abstractWe construct random Schrödinger operators, called Anderson Hamiltonians, with Dirichlet and Neumann boundary conditions for a fairly general class of singular random potentials on bounded domains. Furthermore, we construct the integrated density of states of these Anderson Hamiltonians, and we relate the Lifschitz tails (the asymptotics of the left tails of the integrated density of states) to the left tails of the principal eigenvalues.eng
dc.description.versionpublishedVersioneng
dc.identifier.urihttps://oa.tib.eu/renate/handle/123456789/33317
dc.identifier.urihttps://doi.org/10.34657/32385
dc.language.isoeng
dc.publisherBerlin : Weierstraß-Institut für Angewandte Analysis und Stochastik
dc.relation.doihttps://doi.org/10.20347/WIAS.PREPRINT.2976
dc.relation.essn2198-5855
dc.relation.issn0946-8633
dc.rights.licenseThis document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties.eng
dc.rights.licenseDieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden.ger
dc.subject.ddc510eng
dc.subject.otherAnderson Hamiltonianeng
dc.subject.otherregularity structureseng
dc.subject.otherintegrated density of stateseng
dc.titleAnderson Hamiltonians with singular potentialseng
dc.typeReporteng
tib.accessRightsopenAccess
wgl.contributorWIAS
wgl.subjectMathematik
wgl.typeReport / Forschungsbericht / Arbeitspapier

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