Avila, Artur; Jitomirskaya, Svetlana; Zhou, Qi (2018). Second phase transition line. Mathematische Annalen, 370(1-2):271-285.
We study the phase transion line of the almost Mathieu operator, that separates arithmetic regions corresponding to singular continuous and a.e. pure point regimes, and prove that both purely singular continuous and a.e. pure point spectrum occur for dense sets of frequencies.
We study the phase transion line of the almost Mathieu operator, that separates arithmetic regions corresponding to singular continuous and a.e. pure point regimes, and prove that both purely singular continuous and a.e. pure point spectrum occur for dense sets of frequencies.
| Item Type: | Journal Article, refereed, original work |
|---|---|
| Communities & Collections: | 07 Faculty of Science > Institute of Mathematics |
| Dewey Decimal Classification: | 510 Mathematics |
| Scopus Subject Areas: | Physical Sciences > General Mathematics |
| Language: | English |
| Date: | 1 February 2018 |
| Deposited On: | 23 Jan 2019 16:26 |
| Last Modified: | 20 Sep 2023 01:43 |
| Publisher: | Springer |
| ISSN: | 0025-5831 |
| OA Status: | Closed |
| Free access at: | Publisher DOI. An embargo period may apply. |
| Publisher DOI: | https://doi.org/10.1007/s00208-017-1543-1 |
Avila, Artur