Spectral Regularity and Defects for the Kohmoto Model

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dc.bibliographicCitation.journalTitleOberwolfach Preprints (OWP)
dc.bibliographicCitation.volume2025-05
dc.contributor.authorBeckus, Siegfried
dc.contributor.authorBellissard, Jean
dc.contributor.authorThomas, Yannik
dc.date.accessioned2026-03-05T07:31:49Z
dc.date.available2026-03-05T07:31:49Z
dc.date.issued2025
dc.description.abstractWe study the Kohmoto model including Sturmian Hamiltonians and the associated Kohmoto butterfly. We prove spectral estimates for the operators using Farey numbers. In addition, we determine the impurities at rational rotations leading to the spectral defects in the Kohmoto butterfly. Our results are similar to the ones obtained for the Almost-Mathieu operator and the associated Hofstadter butterfly.eng
dc.description.versionpublishedVersion
dc.identifier.urihttps://oa.tib.eu/renate/handle/123456789/31973
dc.identifier.urihttps://doi.org/10.34657/31042
dc.language.isoeng
dc.publisherOberwolfach : Mathematisches Forschungsinstitut Oberwolfacheng
dc.relation.doihttps://doi.org/10.14760/OWP-2025-05
dc.relation.issn1864-7596
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.ddc510
dc.titleSpectral Regularity and Defects for the Kohmoto Modeleng
dc.typeReporteng
tib.accessRightsopenAccess
wgl.contributorMFO
wgl.subjectMathematik
wgl.typeReport / Forschungsbericht / Arbeitspapier

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