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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2602.17141 |
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| _version_ | 1866914338784149504 |
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| author | Dong, Yingdu Liu, Haoxuan You, Zuhong Yuan, Xiaoping |
| author_facet | Dong, Yingdu Liu, Haoxuan You, Zuhong Yuan, Xiaoping |
| contents | We establish Anderson localization for 1-d discrete Schrödinger operators with positive weights. The distinctive feature of this work lies in the degeneracy of the weights, with both the potentials and weights assumed to be analytic and quasi-periodic. Operators of this kind originate from distinct mathematical physics problems, which include the Frenkel-Kontorova model with impurities, the discretization of singular Sturm-Liouville operators, and the Fisher-KPP lattice equation in heterogeneous media. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_17141 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Anderson localization for 1-d quasi-periodic Schrödinger operators with degenerate weights Dong, Yingdu Liu, Haoxuan You, Zuhong Yuan, Xiaoping Mathematical Physics We establish Anderson localization for 1-d discrete Schrödinger operators with positive weights. The distinctive feature of this work lies in the degeneracy of the weights, with both the potentials and weights assumed to be analytic and quasi-periodic. Operators of this kind originate from distinct mathematical physics problems, which include the Frenkel-Kontorova model with impurities, the discretization of singular Sturm-Liouville operators, and the Fisher-KPP lattice equation in heterogeneous media. |
| title | Anderson localization for 1-d quasi-periodic Schrödinger operators with degenerate weights |
| topic | Mathematical Physics |
| url | https://arxiv.org/abs/2602.17141 |