Nonperturbative localization

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dc.creatorJitomirskaya, Svetlana Ya.
dc.date2003-04-28
dc.date.accessioned2026-07-07T04:30:08Z
dc.date.available2026-07-07T04:30:08Z
dc.descriptionStudy of fine spectral properties of quasiperiodic and similar discrete Schrödinger operators involves dealing with problems caused by small denominators, and until recently was only possible using perturbative methods, requiring certain small parameters and complicated KAM-type schemes. We review the recently developed nonperturbative methods for such study which lead to stronger results and are significantly simpler. Numerous applications mainly due to J. Bourgain, M. Goldstein, W. Schlag, and the author are also discussed.
dc.identifierhttps://arxiv.org/abs/math-ph/0304044
dc.identifierhttp://arxiv.org/abs/math-ph/0304044
dc.identifierProceedings of the ICM, Beijing 2002, vol. 3, 445--456
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/57371
dc.subjectMathematical Physics
dc.subject35, 37, 60, 81
dc.titleNonperturbative localization
dc.typetext

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