Localization for non-stationary Anderson models in three dimensions
Mathematical Physics
2026-03-19 v1 math.MP
Probability
Abstract
We prove localization (near the bottom of the spectrum) for certain non-stationary variants of the Anderson model in three dimensions. More specifically, we prove a Wegner estimate, which implies localization by existing work. Two key inputs are a deterministic quantitative unique continuation theorem by Li and Zhang [Duke Math. J. 171(2): 327-415, 2022] and some combinatorial decompositions/bounds for non-stationary random potentials proved by the author [Commun. Math. Phys. 407:64, 2026].
Cite
@article{arxiv.2603.17810,
title = {Localization for non-stationary Anderson models in three dimensions},
author = {Omar Hurtado},
journal= {arXiv preprint arXiv:2603.17810},
year = {2026}
}
Comments
22pp, comments welcome