Anderson localization of long-range quasi-periodic operators via Dynamical Rigidity
Spectral Theory
2026-03-12 v1 Mathematical Physics
Dynamical Systems
math.MP
Abstract
We establish Anderson localization for long-range quasi-periodic operators with large trigonometric potentials and Diophantine frequencies, the proof is based on a novel dynamical rigidity argument.
Keywords
Cite
@article{arxiv.2603.10649,
title = {Anderson localization of long-range quasi-periodic operators via Dynamical Rigidity},
author = {Zhenfu Wang and Jiangong You and Qi Zhou},
journal= {arXiv preprint arXiv:2603.10649},
year = {2026}
}