Second Phase transition line
Mathematical Physics
2016-08-08 v1 Dynamical Systems
math.MP
Spectral Theory
Abstract
We study the phase transion line of the almost Mathieu operator, that separates arithmetic regions corresponding to singular continuous and a.e. pure point regimes, and prove that both purely singular continuous and a.e. pure point spectrum occur for dense sets of frequencies.
Cite
@article{arxiv.1608.01799,
title = {Second Phase transition line},
author = {Artur Avila and Svetlana Jitomirskaya and Qi Zhou},
journal= {arXiv preprint arXiv:1608.01799},
year = {2016}
}