The Spectrum and Density of States of the Almost Mathieu Operator
Matematičeskie zametki, Tome 107 (2020) no. 6, pp. 948-953.

Voir la notice de l'article provenant de la source Math-Net.Ru

Keywords: almost Mathieu operator, spectrum, density of states, semiclassical approximation.
@article{MZM_2020_107_6_a15,
     author = {A. A. Fedotov and E. V. Shchetka},
     title = {The {Spectrum} and {Density} of {States} of the {Almost} {Mathieu} {Operator}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {948--953},
     publisher = {mathdoc},
     volume = {107},
     number = {6},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2020_107_6_a15/}
}
TY  - JOUR
AU  - A. A. Fedotov
AU  - E. V. Shchetka
TI  - The Spectrum and Density of States of the Almost Mathieu Operator
JO  - Matematičeskie zametki
PY  - 2020
SP  - 948
EP  - 953
VL  - 107
IS  - 6
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MZM_2020_107_6_a15/
LA  - ru
ID  - MZM_2020_107_6_a15
ER  - 
%0 Journal Article
%A A. A. Fedotov
%A E. V. Shchetka
%T The Spectrum and Density of States of the Almost Mathieu Operator
%J Matematičeskie zametki
%D 2020
%P 948-953
%V 107
%N 6
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MZM_2020_107_6_a15/
%G ru
%F MZM_2020_107_6_a15
A. A. Fedotov; E. V. Shchetka. The Spectrum and Density of States of the Almost Mathieu Operator. Matematičeskie zametki, Tome 107 (2020) no. 6, pp. 948-953. http://geodesic.mathdoc.fr/item/MZM_2020_107_6_a15/

[1] M. Wilkinson, J. Phys. A, 20 (1987), 4337–4354 | DOI | MR

[2] J. P. Guillement, B. Helffer, P. Treton, J. Phys. France, 50 (1989), 2019–2058 | DOI

[3] J. Brüning, S. Yu. Dobrokhotov, K. V. Pankrashkin, Russ. J. Math. Phys., 9:1 (2002), 14–49 | MR | Zbl

[4] A. Avila, S. Jitomirskaya, Ann. of Math. (2), 170:1 (2009), 303–342 | DOI | MR | Zbl

[5] B. Helffer, J. Sjöstrand, Analyse semi-classique pour l'équation de Harper, Mém. Soc. Math. France (N.S.), 34, Soc. Math. France, 1988 | MR | Zbl

[6] A. A. Fedotov, Algebra i analiz, 25:2 (2013), 203–235 | MR | Zbl

[7] L. Pastur, A. Figotin, Spectra of Random and Almost-Periodic Operators, Grundlehren Math. Wiss., 297, Springer Verlag, Berlin, 1992 | MR | Zbl

[8] A. Avila, S. Jitomirskaya, J. Eur. Math. Soc. (JEMS), 12 (2010), 93–131 | DOI | MR | Zbl

[9] A. A. Fedotov, E. V. Schetka, Matem. zametki, 104:6 (2018), 948–952 | DOI | Zbl

[10] V. S. Buslaev, A. A. Fedotov, Algebra i analiz, 6:3 (1994), 59–83 | MR | Zbl

[11] A. A. Fedotov, E. V. Schetka, Algebra i analiz, 29:2 (2017), 193–219