Sharp arithmetic localization for quasiperiodic operators with monotone potentials
Spectral Theory
2024-07-02 v1 Mathematical Physics
math.MP
Abstract
We prove the universality of sharp arithmetic localization for all one-dimensional quasiperiodic Schr\"odinger operators with anti-Lipschitz monotone potentials.
Keywords
Cite
@article{arxiv.2407.00703,
title = {Sharp arithmetic localization for quasiperiodic operators with monotone potentials},
author = {Svetlana Jitomirskaya and Ilya Kachkovskiy},
journal= {arXiv preprint arXiv:2407.00703},
year = {2024}
}
Comments
36 pages, 1 figure