Mathematics – Dynamical Systems
Scientific paper
2005-03-17
Mathematics
Dynamical Systems
31 pages, no figures
Scientific paper
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.
Avila Artur
Jitomirskaya Svetlana
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