The Ten Martini Problem
动力系统
2015-06-26 v1 数学物理
math.MP
谱理论
摘要
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.
关键词
引用
@article{arxiv.math/0503363,
title = {The Ten Martini Problem},
author = {Artur Avila and Svetlana Jitomirskaya},
journal= {arXiv preprint arXiv:math/0503363},
year = {2015}
}
备注
31 pages, no figures