Kachkovskiy, I;
Krymski, S;
Parnovski, L;
Shterenberg, R;
(2021)
Perturbative diagonalization for Maryland-type quasiperiodic operators with flat pieces.
Journal of Mathematical Physics
, 62
(6)
, Article 063509. 10.1063/5.0042994.
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Abstract
We consider quasiperiodic operators on Zd with unbounded monotone sampling functions ("Maryland-type"), which are not required to be strictly monotone and are allowed to have flat segments. Under several geometric conditions on the frequencies, lengths of the segments, and their positions, we show that these operators enjoy Anderson localization at large disorder.
| Type: | Article |
|---|---|
| Title: | Perturbative diagonalization for Maryland-type quasiperiodic operators with flat pieces |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1063/5.0042994 |
| Publisher version: | https://doi.org/10.1063/5.0042994 |
| Language: | English |
| Additional information: | This version is the version of record. For information on re-use, please refer to the publisher’s terms and conditions. |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics |
| URI: | https://discovery-pp.ucl.ac.uk/id/eprint/10130880 |
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