Semi-algebraic discrepancy estimates for multi-frequency shift sequences with applications to quantum dynamics
Fuente:
arXiv
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| Auteurs principaux: | , , , , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866915410878660608 |
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| author | Liu, Wencai Powell, Matthew Tang, Yiding Max Wang, Xueyin Zhang, Ruixiang Zhou, Justin |
| author_facet | Liu, Wencai Powell, Matthew Tang, Yiding Max Wang, Xueyin Zhang, Ruixiang Zhou, Justin |
| contents | We establish asymptotically sharp semi-algebraic discrepancy estimates for multi-frequency shift sequences. As an application, we obtain novel upper bounds for the quantum dynamics of long-range quasi-periodic Schrödinger operators. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_19783 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Semi-algebraic discrepancy estimates for multi-frequency shift sequences with applications to quantum dynamics Liu, Wencai Powell, Matthew Tang, Yiding Max Wang, Xueyin Zhang, Ruixiang Zhou, Justin Mathematical Physics Number Theory We establish asymptotically sharp semi-algebraic discrepancy estimates for multi-frequency shift sequences. As an application, we obtain novel upper bounds for the quantum dynamics of long-range quasi-periodic Schrödinger operators. |
| title | Semi-algebraic discrepancy estimates for multi-frequency shift sequences with applications to quantum dynamics |
| topic | Mathematical Physics Number Theory |
| url | https://arxiv.org/abs/2507.19783 |