- 03-116 Hatem NAJAR
- Localization for divergence operators with long range radom perturbations
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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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