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.
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.