Schrödinger Operators Defined by Interval Exchange Transformations

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dc.creatorChaika, Jon
dc.creatorDamanik, David
dc.creatorKrueger, Helge
dc.date2008-09-18
dc.date2009-05-15
dc.date.accessioned2026-07-07T13:14:46Z
dc.date.available2026-07-07T13:14:46Z
dc.descriptionWe discuss discrete one-dimensional Schrödinger operators whose potentials are generated by an invertible ergodic transformation of a compact metric space and a continuous real-valued sampling function. We pay particular attention to the case where the transformation is a minimal interval exchange transformation. Results about the spectrum and the spectral type of these operators are established. In particular, we provide the first examples of transformations for which the associated Schrödinger operators have purely singular spectrum for every non-constant continuous sampling function.
dc.identifierhttps://arxiv.org/abs/0809.3230
dc.identifierhttp://arxiv.org/abs/0809.3230
dc.identifierJournal of Modern Dynamics 3, number 2, 253-270 (2009)
dc.identifierdoi:10.3934/jmd.2009.3.253
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/230280
dc.subjectSpectral Theory
dc.subjectDynamical Systems
dc.titleSchrödinger Operators Defined by Interval Exchange Transformations
dc.typetext

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