Localization for non-stationary Anderson models in three dimensions
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866911526027264000 |
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| author | Hurtado, Omar |
| author_facet | Hurtado, Omar |
| contents | 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]. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_17810 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Localization for non-stationary Anderson models in three dimensions Hurtado, Omar Mathematical Physics Probability 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]. |
| title | Localization for non-stationary Anderson models in three dimensions |
| topic | Mathematical Physics Probability |
| url | https://arxiv.org/abs/2603.17810 |