Groupe de Travail Guide d’ondes, milieux stratifiés et problèmes inverses (GOMS)
Groupe de Travail Guide d’ondes, milieux stratifiés et problèmes inverses (GOMS)
Date(s) : 23/03/2016 iCal
14h00 - 15h00
“Uniform resolvent convergence for a strip with fast oscillating boundary”
In a planar infinite strip with a fast oscillating boundary we consider an elliptic operator assuming that both the period and the amplitude of the oscillations are small. On the oscillating boundary we impose Dirichlet, Neumann or Robin boundary condition. In all cases we describe the homogenized operator, establish the uniform resolvent convergence of the perturbed resolvent to the homogenized
one, and prove the estimates for the rate of convergence. These results are obtained as the order of the amplitude of the oscillations is less, equal or greater than that of the period. It is shown that under the homogenization the type of the boundary condition can change
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Groupe de Travail Guide d’ondes, milieux stratifiés et problèmes inverses (GOMS)
Date(s) : 03/12/2015 - 04/12/2015 iCal
13h30 - 18h00
Le troisième workshop “Problèmes inverses et domaines associés” aura lieu du jeudi 3 Décembre au Vendredi 4 Décembre 2015 dans les locaux de la Frumam.
Le programme sera disponible en ligne très rapidement.
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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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