An eigensystem approach to Anderson localization
Duration: 1 hour 10 mins
Share this media item:
Embed this media item:
Embed this media item:
About this item
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) |
Distribution: | World (downloadable) |
Explicit content: | No |
Aspect Ratio: | 16:9 |
Screencast: | No |
Bumper: | UCS Default |
Trailer: | UCS Default |
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.) |
---|
Available Formats
Format | Quality | Bitrate | Size | |||
---|---|---|---|---|---|---|
MPEG-4 Video | 640x360 | 1.94 Mbits/sec | .99 GB | View | Download | |
WebM | 640x360 | 661.21 kbits/sec | 339.00 MB | View | Download | |
iPod Video | 480x270 | 522.05 kbits/sec | 267.65 MB | View | Download | |
MP3 | 44100 Hz | 250.31 kbits/sec | 128.33 MB | Listen | Download | |
Auto * | (Allows browser to choose a format it supports) |