Phase transitions for the almost Mathieu operator
Duration: 54 mins 49 secs
Share this media item:
Embed this media item:
Embed this media item:
About this item
| Description: |
Zhou, Q (Université Paris 7 - Denis-Diderot)
Tuesday 07 April 2015, 13:30-14:30 |
|---|
| Created: | 2015-04-08 18:11 |
|---|---|
| Collection: | Periodic and Ergodic Spectral Problems |
| Publisher: | Isaac Newton Institute |
| Copyright: | Zhou, Q |
| Language: | eng (English) |
| Distribution: |
World
(downloadable)
|
| Explicit content: | No |
| Aspect Ratio: | 16:9 |
| Screencast: | No |
| Bumper: | UCS Default |
| Trailer: | UCS Default |
| Abstract: | Co-authors: Artur Avila (IMPA & Paris 7), Jiangong You (Nanjing University)
For the almost Mathieu operator with any fixed frequency, we locate the point where phase transition from singular continuous spectrum to pure point spectrum takes place, which settles Aubry-Andr\'e conjecture for all irrational frequencies, and also solves Avila and Jitomirskaya's conjectures. Together with former paper of Avila, we give a complete description of phase transitions for the almost Mathieu operator. |
|---|---|
Available Formats
| Format | Quality | Bitrate | Size | |||
|---|---|---|---|---|---|---|
| MPEG-4 Video | 640x360 | 1.94 Mbits/sec | 798.10 MB | View | Download | |
| WebM | 640x360 | 582.45 kbits/sec | 233.85 MB | View | Download | |
| iPod Video | 480x270 | 521.5 kbits/sec | 209.38 MB | View | Download | |
| MP3 | 44100 Hz | 249.77 kbits/sec | 100.37 MB | Listen | Download | |
| Auto * | (Allows browser to choose a format it supports) | |||||