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arXiv:math/0503363 [math.DS]AbstractReferencesReviewsResources

The Ten Martini Problem

Artur Avila, Svetlana Jitomirskaya

Published 2005-03-17Version 1

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.

Comments: 31 pages, no figures
Categories: math.DS, math-ph, math.MP, math.SP
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