An eigensystem approach to Anderson localization

1 hour 10 mins, .99 GB, MPEG-4 Video 640x360, 29.97 fps, 44100 Hz, 1.94 Mbits/sec

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Description:	Klein, A (University of California, Irvine) Tuesday 23 June 2015, 10:00-11:00


Created:	2015-06-30 15:37
Collection:	Periodic and Ergodic Spectral Problems
Publisher:	Isaac Newton Institute
Copyright:	Klein, A
Language:	eng (English)


Abstract:	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.)

Abstract:

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.)

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