The Ten Martini Problem
Dynamical Systems
2015-06-26 v1 Mathematical Physics
math.MP
Spectral Theory
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.
Keywords
Cite
@article{arxiv.math/0503363,
title = {The Ten Martini Problem},
author = {Artur Avila and Svetlana Jitomirskaya},
journal= {arXiv preprint arXiv:math/0503363},
year = {2015}
}
Comments
31 pages, no figures