On the distribution of linear combinations of eigenvalues of the Anderson model

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dc.creatorFishman, Shmuel
dc.creatorKrivolapov, Yevgeny
dc.creatorSoffer, Avy
dc.date2008-08-31
dc.date.accessioned2026-07-07T09:59:40Z
dc.date.available2026-07-07T09:59:40Z
dc.descriptionProbabilistic estimates on linear combinations of eigenvalues of the one dimensional Anderson model are derived. So far only estimates on the density of eigenvalues and of pairs were found by Wegner and by Minami. Our work was motivated by perturbative explorations of the Nonlinear Schroedinger Equation, where linear combinations of eigenvalues are the denominators and evaluation of their smallness is crucial.
dc.description12 pages, 0 figures
dc.identifierhttps://arxiv.org/abs/0809.0121
dc.identifierhttp://arxiv.org/abs/0809.0121
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/168105
dc.subjectMathematical Physics
dc.subject81V99
dc.titleOn the distribution of linear combinations of eigenvalues of the Anderson model
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