Groupe de Travail Guide d’ondes, milieux stratifiés et problèmes inverses (GOMS)
Date(s) : 04/06/2014 iCal
16h00 - 17h00
Titre: Eigenvalue statistics for some one-dimensional random Schrodinger operators
resume: One-dimensional random Schrodinger operators on the lattice exhibit various local eigenvalue statistics depending on the rate of decay of the randomness. For example, if the disorder is scaled with the length of the interval on which the Hamiltonian is restricted, then in the limit of infinite length, the eigenvalue statistics varies from Poisson to clock as the power of the scaling varies from zero to one. The critical case of one-half was treated by Kritchevski, Valko, and Virag. The eigenvalue statistics for the other values of the scaling will be presented and are joint work with F. Klopp.
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