Reducibility or non-uniform hyperbolicity for quasiperiodic Schrodinger cocycles

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dc.creatorAvila, Artur
dc.creatorKrikorian, Raphael
dc.date2003-06-26
dc.date2007-04-26
dc.date.accessioned2026-07-07T07:58:16Z
dc.date.available2026-07-07T07:58:16Z
dc.descriptionWe show that for almost every frequency alpha \in \R \setminus \Q, for every C^omega potential v:\R/\Z \to R, and for almost every energy E the corresponding quasiperiodic Schrodinger cocycle is either reducible or nonuniformly hyperbolic. This result gives very good control on the absolutely continuous part of the spectrum of the corresponding quasiperiodic Schrodinger operator, and allows us to complete the proof of the Aubry-Andre conjecture on the measure of the spectrum of the Almost Mathieu Operator.
dc.description30 pages, published version
dc.identifierhttps://arxiv.org/abs/math/0306382
dc.identifierhttp://arxiv.org/abs/math/0306382
dc.identifierAnn. of Math. (2) 164 (2006), no. 3, 911--940
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/127946
dc.subjectDynamical Systems
dc.subjectMathematical Physics
dc.subjectSpectral Theory
dc.titleReducibility or non-uniform hyperbolicity for quasiperiodic Schrodinger cocycles
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