Positive Hausdorff dimensional spectrum for the critical almost Mathieu operator
Mathematical Physics
2018-11-14 v1 math.MP
Spectral Theory
Abstract
We show that there exists a dense set of frequencies with positive Hausdorff dimension for which the Hausdorff dimension of the spectrum of the critical almost Mathieu operator is positive.
Cite
@article{arxiv.1804.01658,
title = {Positive Hausdorff dimensional spectrum for the critical almost Mathieu operator},
author = {Bernard Helffer and Qinghui Liu and Yanhui Qu and Qi Zhou},
journal= {arXiv preprint arXiv:1804.01658},
year = {2018}
}
Comments
3 figures