The absolutely continuous spectrum of the almost Mathieu operator

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dc.creatorAvila, Artur
dc.date2008-10-16
dc.date.accessioned2026-07-07T10:10:42Z
dc.date.available2026-07-07T10:10:42Z
dc.descriptionWe prove that the spectrum of the almost Mathieu operator is absolutely continuous if and only if the coupling is subcritical. This settles Problem 6 of Barry Simon's list of Schrödinger operator problems for the twenty-first century.
dc.description22 pages
dc.identifierhttps://arxiv.org/abs/0810.2965
dc.identifierhttp://arxiv.org/abs/0810.2965
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/171669
dc.subjectDynamical Systems
dc.subjectMathematical Physics
dc.subjectSpectral Theory
dc.titleThe absolutely continuous spectrum of the almost Mathieu operator
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