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An eigensystem approach to Anderson localization

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Periodic and Ergodic Spectral Problems

Co-author: Alexander Elgart (Virginia Tech)

We introduce a new approach for proving localization (pure point spectrum with exponentially decaying eigenfunctions, dynamical localization) for the Anderson model at high disorder. In contrast to the usual strategy, we do not study finite volume Green’s functions. Instead, we perform a multiscale analysis based on finite volume eigensystems, establishing localization of finite volume eigenfunctions with high probability. (Joint work with A. Elgart.)

This talk is part of the Isaac Newton Institute Seminar Series series.

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