03-116 Hatem NAJAR
Localization for divergence operators with long range radom perturbations (1116K, postscrit, dvi and pdf fils) Mar 14, 03
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Abstract. The object of this paper is to study Anderson and strong dynamical localizations on the internal band edges of the spectrum for random perturbations of periodic divergence operators of the form $A_{\omega}=-\nabla \cdot a_{\omega}\cdot\nabla$, where $a_{\omega}$ is a long range perturbation of a periodic matrix function. Our results rely on the study of Lifshitz tails from which we get the initial estimate necessary for the multiscale analysis.

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