Research output: Contribution to journal › Article › peer-review
Perturbative diagonalization for Maryland-type quasiperiodic operators with flat pieces. / Kachkovskiy, Ilya; Krymski, Stanislav; Parnovski, Leonid; Shterenberg, Roman.
In: Journal of Mathematical Physics, Vol. 62, No. 6, 063509, 01.06.2021.Research output: Contribution to journal › Article › peer-review
}
TY - JOUR
T1 - Perturbative diagonalization for Maryland-type quasiperiodic operators with flat pieces
AU - Kachkovskiy, Ilya
AU - Krymski, Stanislav
AU - Parnovski, Leonid
AU - Shterenberg, Roman
N1 - Publisher Copyright: © 2021 Author(s).
PY - 2021/6/1
Y1 - 2021/6/1
N2 - 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.
AB - 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.
KW - LOCALIZATION
UR - http://www.scopus.com/inward/record.url?scp=85108188946&partnerID=8YFLogxK
UR - https://www.mendeley.com/catalogue/ad149ffe-810f-393d-a911-a232b1ecefda/
U2 - 10.1063/5.0042994
DO - 10.1063/5.0042994
M3 - Article
AN - SCOPUS:85108188946
VL - 62
JO - Journal of Mathematical Physics
JF - Journal of Mathematical Physics
SN - 0022-2488
IS - 6
M1 - 063509
ER -
ID: 84425131