Anderson Localization for Time Quasi Periodic Random Schödinger and Wave Operators

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dc.creatorBourgain, Jean
dc.creatorWang, Wei-Min
dc.date2002-10-22
dc.date.accessioned2026-07-07T04:52:13Z
dc.date.available2026-07-07T04:52:13Z
dc.descriptionWe prove that at large disorder, with large probability and for a set of Diophantine frequencies of large measure, Anderson localization in $\Bbb Z^d$ is {\it stable} under localized time-quasi-periodic perturbations by proving that the associated quasi-energy operator has pure point spectrum. The main tools are the Fröhlich-Spencer mechanism for the random component and the Bourgain-Goldstein-Schlag mechanism for the quasi-periodic component. The formulation of this problem is motivated by questions of Anderson localization for non-linear Schrödinger equations.
dc.description37 pgs
dc.identifierhttps://arxiv.org/abs/math/0210336
dc.identifierhttp://arxiv.org/abs/math/0210336
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/65387
dc.subjectSpectral Theory
dc.subjectAnalysis of PDEs
dc.titleAnderson Localization for Time Quasi Periodic Random Schödinger and Wave Operators
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