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arXiv · 2603.17810

Localization for non-stationary Anderson models in three dimensions

Omar Hurtado
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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].

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Omar Hurtado. 2026-03-18. Localization for non-stationary Anderson models in three dimensions. https://arxiv.org/abs/2603.17810

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