Generic sets in spaces of measures and generic singular continuous spectrum for Delone Hamiltonians

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dc.creatorLenz, Daniel
dc.creatorStollmann, Peter
dc.date2004-10-07
dc.date.accessioned2026-07-07T04:31:31Z
dc.date.available2026-07-07T04:31:31Z
dc.descriptionWe show that geometric disorder leads to purely singular continuous spectrum generically. The main input is a result of Simon known as the ``Wonderland theorem''. Here, we provide an alternative approach and actually a slight strengthening by showing that various sets of measures defined by regularity properties are generic in the set of all measures on a locally compact metric space. As a byproduct we obtain that a generic measure on euclidean space is singular continuous.
dc.identifierhttps://arxiv.org/abs/math-ph/0410021
dc.identifierhttp://arxiv.org/abs/math-ph/0410021
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/57845
dc.subjectMathematical Physics
dc.subjectFunctional Analysis
dc.subject81Q10; 35J10
dc.titleGeneric sets in spaces of measures and generic singular continuous spectrum for Delone Hamiltonians
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