Geodesic
The Ten Martini Problem
Artur Avila1 ; Svetlana Jitomirskaya2
1 IMPA<br/>Estrada Dona Castorina 110<br/>Jardim Botânico<br/>22460-320 Rio de Janeiro, RJ<br/>Brazil
2 Department of Mathematics<br/>340 Rowland Hall<br/>University of California<br/>Irvine, CA 92697-3875<br/>United States
Annals of mathematics, Tome 170 (2009) no. 1, pp. 303-342.

Voir la notice de l'article provenant de la source Annals of Mathematics website

We prove the conjecture (known as the “Ten Martini Problem” after Kac and Simon) that the spectrum of the almost Mathieu operator is a Cantor set for all nonzero values of the coupling and all irrational frequencies.
DOI : 10.4007/annals.2009.170.303

Artur Avila 1 ; Svetlana Jitomirskaya 2

1 IMPA<br/>Estrada Dona Castorina 110<br/>Jardim Botânico<br/>22460-320 Rio de Janeiro, RJ<br/>Brazil
2 Department of Mathematics<br/>340 Rowland Hall<br/>University of California<br/>Irvine, CA 92697-3875<br/>United States 
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Artur Avila; Svetlana Jitomirskaya. The Ten Martini Problem. Annals of mathematics, Tome 170 (2009) no. 1, pp. 303-342. doi : 10.4007/annals.2009.170.303. http://geodesic.mathdoc.fr/articles/10.4007/annals.2009.170.303/

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