On the Ballistic Transport for limit-periodic Jacobi Matrices
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866909798574850048 |
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| author | Han, Rui Solis, Moises Gomez |
| author_facet | Han, Rui Solis, Moises Gomez |
| contents | Motivated by Open Problem 17 in Damanik-Fillman's manuscript , we study the decay rate of limit-periodic approximation such that ballistic transport persists in the limit-periodic setting. We show an exponential decay rate, roughly $\|\mathscr{J}-\mathscr{J}_{q_n}\|\sim e^{-ηq_n}$, is sufficient. This improves on earlier results of Fillman arXiv:1603.01173 |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2509_16787 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the Ballistic Transport for limit-periodic Jacobi Matrices Han, Rui Solis, Moises Gomez Mathematical Physics Dynamical Systems Spectral Theory Quantum Physics Motivated by Open Problem 17 in Damanik-Fillman's manuscript , we study the decay rate of limit-periodic approximation such that ballistic transport persists in the limit-periodic setting. We show an exponential decay rate, roughly $\|\mathscr{J}-\mathscr{J}_{q_n}\|\sim e^{-ηq_n}$, is sufficient. This improves on earlier results of Fillman arXiv:1603.01173 |
| title | On the Ballistic Transport for limit-periodic Jacobi Matrices |
| topic | Mathematical Physics Dynamical Systems Spectral Theory Quantum Physics |
| url | https://arxiv.org/abs/2509.16787 |