Zero Hausdorff dimension spectrum for the almost Mathieu operator
Mathematical Physics
2016-05-25 v2 math.MP
Spectral Theory
Abstract
We study the almost Mathieu operator at critical coupling. We prove that there exists a dense set of frequencies for which the spectrum is of zero Hausdorff dimension.
Cite
@article{arxiv.1510.07651,
title = {Zero Hausdorff dimension spectrum for the almost Mathieu operator},
author = {Yoram Last and Mira Shamis},
journal= {arXiv preprint arXiv:1510.07651},
year = {2016}
}
Comments
v1: 24 pp. v2: 25 pp, corrected the statement of Theorem 3 and added explanations in the proof of Theorem 2