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 nonzero values of the coupling and all irrational frequencies.
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[AK]
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AUTHOR = {Avila, Artur and Krikorian, Rapha{ë}l},
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@techreport{AK2,
author = {Avila, A. and Krikorian, R.},
TITLE = {Quasiperiodic {$\operatorname{SL}(2,\mathbb{R})$} cocycles},
TYPE = {in preparation},
marginpar = {please supply any updates},
} -
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