Localization for quasiperiodic operators with unbounded monotone potentials
Spectral Theory
2018-11-20 v2 Mathematical Physics
Dynamical Systems
math.MP
Abstract
We establish non-perturbative Anderson localization for a wide class of 1D quasiperiodic operators with unbounded monotone potentials, extending the classical results on Maryland model and perturbative results for analytic potentials by B\'ellissard, Lima, and Scoppola.
Cite
@article{arxiv.1807.00732,
title = {Localization for quasiperiodic operators with unbounded monotone potentials},
author = {Ilya Kachkovskiy},
journal= {arXiv preprint arXiv:1807.00732},
year = {2018}
}
Comments
19 pages. The result now covers a larger class of potentials. New Section 8 added (with a proof that the spectrum is the real line)