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On the Ballistic Transport for limit-periodic Jacobi Matrices
Rui Han, Moises Gomez Solis·September 20, 2025
Mathematical Physicsmath.DSmath.SPQuantum Physics
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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 $\|\mathscr{J}-\mathscr{J}_{q_n}\|\sim e^{-ηq_n}$, is sufficient. This improves on earlier results of Fillman arXiv:1603.01173