The Ten Martini Problem
Avila, Artur ; Jitomirskaya, Svetlana
arXiv, 0503363 / Harvested from arXiv
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 non-zero values of the coupling and all irrational frequencies.
Publié le : 2005-03-17
Classification:  Mathematics - Dynamical Systems,  Mathematical Physics,  Mathematics - Spectral Theory
@article{0503363,
     author = {Avila, Artur and Jitomirskaya, Svetlana},
     title = {The Ten Martini Problem},
     journal = {arXiv},
     volume = {2005},
     number = {0},
     year = {2005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0503363}
}
Avila, Artur; Jitomirskaya, Svetlana. The Ten Martini Problem. arXiv, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/0503363/