On the Ballistic Transport for limit-periodic Jacobi Matrices

• URL: http://arxiv.org/abs/2509.16787v1
• Date: Sat, 20 Sep 2025 19:28:41 GMT
• Title: On the Ballistic Transport for limit-periodic Jacobi Matrices
• Abstract summary: We show an exponential decay rate, roughly $|mathscrJ_q_n|sim e-eta q_n$, is sufficient.<n>This improves on earlier results of Damanik-Fillman arXiv:1603.01173.
• Score: 3.10523563467808
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: 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 $\|\mathscr{J}-\mathscr{J}_{q_n}\|\sim e^{-\eta q_n}$, is sufficient. This improves on earlier results of Fillman arXiv:1603.01173

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