Positive Hausdorff dimensional spectrum for the critical almost Mathieu operator

Bernard Helffer; Qinghui Liu; Qi Zhou; Yanhui Qu

arxiv: 1804.01658 · v1 · pith:EENOVKG7new · submitted 2018-04-05 · 🧮 math-ph · math.MP· math.SP

Positive Hausdorff dimensional spectrum for the critical almost Mathieu operator

Bernard Helffer , Qinghui Liu , Yanhui Qu , Qi Zhou This is my paper

classification 🧮 math-ph math.MPmath.SP

keywords hausdorffpositivealmostcriticaldimensionmathieuoperatorspectrum

0 comments

read the original 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.

This paper has not been read by Pith yet.

Positive Hausdorff dimensional spectrum for the critical almost Mathieu operator

discussion (0)