The monodromization and Harper equation
Séminaire Équations aux dérivées partielles (Polytechnique) dit aussi "Séminaire Goulaouic-Schwartz" (1993-1994), Talk no. 21, 21 p.
@article{SEDP_1993-1994____A22_0,
     author = {Buslaev, V. and Fedotov, A.},
     title = {The monodromization and {Harper} equation},
     journal = {S\'eminaire \'Equations aux d\'eriv\'ees partielles (Polytechnique) dit aussi "S\'eminaire Goulaouic-Schwartz"},
     note = {talk:21},
     publisher = {Ecole Polytechnique, Centre de Math\'ematiques},
     year = {1993-1994},
     mrnumber = {1300917},
     language = {en},
     url = {http://archive.numdam.org/item/SEDP_1993-1994____A22_0/}
}
TY  - JOUR
AU  - Buslaev, V.
AU  - Fedotov, A.
TI  - The monodromization and Harper equation
JO  - Séminaire Équations aux dérivées partielles (Polytechnique) dit aussi "Séminaire Goulaouic-Schwartz"
N1  - talk:21
PY  - 1993-1994
DA  - 1993-1994///
PB  - Ecole Polytechnique, Centre de Mathématiques
UR  - http://archive.numdam.org/item/SEDP_1993-1994____A22_0/
UR  - https://www.ams.org/mathscinet-getitem?mr=1300917
LA  - en
ID  - SEDP_1993-1994____A22_0
ER  - 
%0 Journal Article
%A Buslaev, V.
%A Fedotov, A.
%T The monodromization and Harper equation
%J Séminaire Équations aux dérivées partielles (Polytechnique) dit aussi "Séminaire Goulaouic-Schwartz"
%Z talk:21
%D 1993-1994
%I Ecole Polytechnique, Centre de Mathématiques
%G en
%F SEDP_1993-1994____A22_0
Buslaev, V.; Fedotov, A. The monodromization and Harper equation. Séminaire Équations aux dérivées partielles (Polytechnique) dit aussi "Séminaire Goulaouic-Schwartz" (1993-1994), Talk no. 21, 21 p. http://archive.numdam.org/item/SEDP_1993-1994____A22_0/

[B-F1] V. Buslaev, A. Fedotov, Complex WKB method for Harper equation, Reports of Mittag-Leffler Institute 11 (1993).

[B-F2] V. Buslaev, A. Fedotov, The functional structure of a monodormy matrix for Harper equation, Operator Theory: Advances and Applications (I.Gohberg, eds.), 1994.

[B-F3] V. Buslaev, A. Fedotov, On a class of matrices related to Harper equation, Reports of Mittag-Leffler Institute 19 (1993).

[B-F4] V. Buslaev, A. Fedotov, Complex WKB method for Harper equation. I., Algebra and Analysis (in russian) No 4 (1994). | MR | Zbl

[C-F-K-S] H.L. Cycon, R.G. Froese, W. Kirsch, B. Simon, Schrdinger operators, Springer-Verlag, 1987.

[Ho] D. Hofstadter, Energy levels and wave functions of Bloch electrons in rational and irrational magnetic fields, Phys. Rev. B 14 (1976), 2239-2249.

[H-S] B. Helffer, J. Sjöstrand, Analyse semi-classique pour l'equation de Harper (avec application a'l etude de l'equation de Schrödinger avec champ magnétique), Mémoires de la SMF 34 (1988). | Numdam | Zbl

[H-K-S] B. Helffer, P. Kerdelhué, J. Sjöstrand, Le papillon de Hofstadter revisité, Mémoires de la SMF 43 (1990). | Numdam | MR | Zbl

[K] A. Ya. Khinchin, Continued fractions, Phoenix Science Series, 1964. | MR

[L] Y. Last Zero mesure spectrum for the almost Mathieu operator, Preprint (March 1994). | MR | Zbl

[O] V.I. Oseledets, A multiplicative ergodic theorem, Trans. Mosc. Math. Soc. 19 (1969), 197-231. | Zbl

[Wi] M. Wilkinson, Critical properties of electron eigenstates in incommensurate systems., Proc. Royal Society of London. A 391 (1984), 305-350. | MR

[Y] J.C. Yoccoz, Ph.D. thesis.