The Ten Martini Problem
arXiv:math/0503363 · doi:10.1007/3-540-34273-7_2
Abstract
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.
31 pages, no figures
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