Quantum Dynamical Bounds for Quasi-Periodic Operators with Liouville Frequencies
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arXiv
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| Main Authors: | , , , , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866915585521090560 |
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| author | Bradshaw, Matthew de Jong, Titus Liu, Wencai Wang, Audrey Wang, Xueyin Yang, Bingheng |
| author_facet | Bradshaw, Matthew de Jong, Titus Liu, Wencai Wang, Audrey Wang, Xueyin Yang, Bingheng |
| contents | We establish quantum dynamical upper bounds for quasi-periodic Schrödinger operators with Liouville frequencies. Our approach combines semi-algebraic discrepancy estimates for the Kronecker sequence $\{nα\}$ with quantitative Green's function estimates adapted to the Liouville setting. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_25603 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Quantum Dynamical Bounds for Quasi-Periodic Operators with Liouville Frequencies Bradshaw, Matthew de Jong, Titus Liu, Wencai Wang, Audrey Wang, Xueyin Yang, Bingheng Mathematical Physics Spectral Theory We establish quantum dynamical upper bounds for quasi-periodic Schrödinger operators with Liouville frequencies. Our approach combines semi-algebraic discrepancy estimates for the Kronecker sequence $\{nα\}$ with quantitative Green's function estimates adapted to the Liouville setting. |
| title | Quantum Dynamical Bounds for Quasi-Periodic Operators with Liouville Frequencies |
| topic | Mathematical Physics Spectral Theory |
| url | https://arxiv.org/abs/2510.25603 |