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dc.contributor.authorBeckus, Siegfried
dc.contributor.authorBellissard, Jean
dc.contributor.authorCornean, Horia
dc.date.accessioned2019-02-26T10:46:46Z
dc.date.available2019-02-26T10:46:46Z
dc.date.issued2019-02-26
dc.identifier.urihttp://publications.mfo.de/handle/mfo/1406
dc.description.abstractWe study the spectral location of a strongly pattern equivariant Hamiltonians arising through configurations on a colored lattice. Roughly speaking, two configurations are "close to each other" if, up to a translation, they "almost coincide" on a large fixed ball. The larger this ball is, the more similar they are, and this induces a metric on the space of the corresponding dynamical systems. Our main result states that the map which sends a given configuration into the spectrum of its associated Hamiltonian, is Hölder (even Lipschitz) continuous in the usual Hausdorff metric. Specifically, the spectral distance of two Hamiltonians is estimated by the distance of the corresponding dynamical systems.en_US
dc.language.isoen_USen_US
dc.publisherMathematisches Forschungsinstitut Oberwolfachen_US
dc.relationAlso published in: Annales Henri Poincaré 20 (2019) pp. 3603-3631. DOI: 10.1007/s00023-019-00848-6
dc.relation.ispartofseriesOberwolfach Preprints;2019,05
dc.titleHölder Continuity of the Spectra for Aperiodic Hamiltoniansen_US
dc.typePreprinten_US
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.de
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.en
dc.identifier.doi10.14760/OWP-2019-05
local.scientificprogramResearch in Pairs 2018en_US
local.series.idOWP-2019-05en_US
dc.identifier.urnurn:nbn:de:101:1-2019031115133583520875
local.publishers-doi10.1007/s00023-019-00848-6
dc.identifier.ppn1656008327


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