Exponential dynamical localization for the almost Mathieu operator
Spectral Theory
2015-06-11 v1 Mathematical Physics
math.MP
Abstract
We prove that the exponential moments of the position operator stay bounded for the supercritical almost Mathieu operator with Diophantine frequency.
Cite
@article{arxiv.1208.2674,
title = {Exponential dynamical localization for the almost Mathieu operator},
author = {Svetlana Jitomirskaya and Helge Krueger},
journal= {arXiv preprint arXiv:1208.2674},
year = {2015}
}