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dc.contributor.authorBeckus, Siegfried
dc.contributor.authorBellissard, Jean
dc.contributor.authorDe Nittis, Giuseppe
dc.date.accessioned2018-12-17T07:26:27Z
dc.date.available2018-12-17T07:26:27Z
dc.date.issued2018-12-17
dc.identifier.urihttp://publications.mfo.de/handle/mfo/1394
dc.description.abstractThe existence and construction of periodic approximations with convergent spectra is crucial in solid state physics for the spectral study of corresponding Schrödinger operators. In a forthcoming work [9] this task was boiled down to the existence and construction of periodic approximations of the underlying dynamical systems in the Hausdorff topology. As a result the one-dimensional systems admitting such approximations are completely classified in the present work. In addition explicit constructions are provided for dynamical systems defined by primitive substitutions covering all studied examples such as the Fibonacci sequence or the Golay-Rudin-Shapiro sequence. One main tool is the description of the Hausdorff topology by the local pattern topology on the dictionaries as well as the GAP-graphs describing the local structure. The connection of branching vertices in the GAP-graphs and defects is discussed.en_US
dc.language.isoen_USen_US
dc.publisherMathematisches Forschungsinstitut Oberwolfachen_US
dc.relation.ispartofseriesOberwolfach Preprints;2018,27
dc.subjectPeriodic approximationsen_US
dc.subjectDynamical systemen_US
dc.subjectSpectrumen_US
dc.subjectSchrödinger operatorsen_US
dc.titleSpectral Continuity for Aperiodic Quantum Systems II. Periodic Approximations in 1Den_US
dc.typePreprinten_US
dc.identifier.doi10.14760/OWP-2018-27
local.scientificprogramResearch in Pairs 2018en_US
local.series.idOWP-2018-27en_US
local.subject.msc81en_US
local.subject.msc37en_US
local.subject.msc47en_US
local.subject.msc41en_US


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