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arxiv: math/0503363 · v1 · pith:6A65FM5Knew · submitted 2005-03-17 · 🧮 math.DS · math-ph· math.MP· math.SP

The Ten Martini Problem

Artur Avila , Svetlana Jitomirskaya This is my paper
classification 🧮 math.DS math-phmath.MPmath.SP
keywords martiniproblemalmostcantorconjecturecouplingfrequenciesirrational
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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.

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