On the Ballistic Transport for limit-periodic Jacobi Matrices
Mathematical Physics
2025-09-23 v1 Dynamical Systems
math.MP
Spectral Theory
Quantum Physics
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 , is sufficient. This improves on earlier results of Fillman arXiv:1603.01173
Keywords
Cite
@article{arxiv.2509.16787,
title = {On the Ballistic Transport for limit-periodic Jacobi Matrices},
author = {Rui Han and Moises Gomez Solis},
journal= {arXiv preprint arXiv:2509.16787},
year = {2025}
}
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16 pages