Exact dynamical decay rate for the almost Mathieu operator
Mathematical Physics
2021-11-03 v1 math.MP
Spectral Theory
Abstract
We prove that the exponential decay rate in expectation is well defined and is equal to the Lyapunov exponent, for supercritical almost Mathieu operators with Diophantine frequencies.
Cite
@article{arxiv.1812.02860,
title = {Exact dynamical decay rate for the almost Mathieu operator},
author = {Svetlana Jitomirskaya and Helge Krüger and Wencai Liu},
journal= {arXiv preprint arXiv:1812.02860},
year = {2021}
}