Perturbative diagonalization for Maryland-type quasiperiodic operators with flat pieces

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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

Author

Kachkovskiy, Ilya ; Krymski, Stanislav ; Parnovski, Leonid ; Shterenberg, Roman. / Perturbative diagonalization for Maryland-type quasiperiodic operators with flat pieces. In: Journal of Mathematical Physics. 2021 ; Vol. 62, No. 6.

BibTeX

@article{d5a3d7ad68354b3e93375f15aa389574,

title = "Perturbative diagonalization for Maryland-type quasiperiodic operators with flat pieces",

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. ",

keywords = "LOCALIZATION",

author = "Ilya Kachkovskiy and Stanislav Krymski and Leonid Parnovski and Roman Shterenberg",

note = "Publisher Copyright: {\textcopyright} 2021 Author(s).",

year = "2021",

month = jun,

day = "1",

doi = "10.1063/5.0042994",

language = "English",

volume = "62",

journal = "Journal of Mathematical Physics",

issn = "0022-2488",

publisher = "American Institute of Physics",

number = "6",

}

RIS

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

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