An eigensystem approach to Anderson localization, part II

Duration: 1 hour 3 mins

Share this media item:

Embed this media item:

<iframe width="_width_" height="_height_" src="https://sms.cam.ac.uk/media/2019068/embed" frameborder="0" scrolling="no" allowfullscreen></iframe>

Choose size:

About this item

Available Formats

About this item

Description:	Elgart, A (Virginia Polytechnic Institute and State University) Tuesday 23 June 2015, 11:30-12:30


Created:	2015-06-30 15:36
Collection:	Periodic and Ergodic Spectral Problems
Publisher:	Isaac Newton Institute
Copyright:	Elgart, A
Language:	eng (English)


Abstract:	Co-author: Abel Klein (UC Irvine) 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. Klein.)

Abstract:

Co-author: Abel Klein (UC Irvine)

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. Klein.)

Available Formats

Format	Quality	Bitrate	Size
MPEG-4 Video	640x360	1.94 Mbits/sec	917.48 MB	View	Download
WebM	640x360	603.98 kbits/sec	278.69 MB	View	Download
iPod Video	480x270	522.03 kbits/sec	240.88 MB	View	Download
MP3	44100 Hz	250.01 kbits/sec	115.36 MB	Listen	Download
Auto *	(Allows browser to choose a format it supports)