P. Hislop – Groupe de Travail Guide d’ondes, milieux stratifiés et problèmes inverses (GOMS)

Carte non disponible

Date/heure
Date(s) - 04/06/2014
16 h 00 min - 17 h 00 min

Catégories Pas de Catégories


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.[

P. Hislop – Groupe de Travail Guide d’ondes, milieux stratifiés et problèmes inverses (GOMS)

Carte non disponible

Date/heure
Date(s) - 04/06/2014
16 h 00 min - 17 h 00 min

Catégories Pas de Catégories


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.[