Anti-resonances and sharp analysis of Maryland localization for all parameters
Spectral Theory
2022-05-10 v1 Mathematical Physics
math.MP
Abstract
We develop the technique to prove localization through the analysis of eigenfunctions in presence of both exponential frequency resonances and exponential phase barriers (anti-resonances) and use it to prove localization for the Maryland model for all parameters.
Keywords
Cite
@article{arxiv.2205.04021,
title = {Anti-resonances and sharp analysis of Maryland localization for all parameters},
author = {Rui Han and Svetlana Jitomirskaya and Fan Yang},
journal= {arXiv preprint arXiv:2205.04021},
year = {2022}
}
Comments
45 pages. Comments welcome!