The Ten Martini Problem

Details The Ten Martini Problem The Ten Martini Problem

2005-03-17

arxiv.org/abs/math/0503363v1

Mathematics

Dynamical Systems

31 pages, no figures

Scientific paper

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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