Semi-algebraic discrepancy estimates for multi-frequency shift sequences with applications to quantum dynamics
Mathematical Physics
2025-07-29 v1 math.MP
Number Theory
Abstract
We establish asymptotically sharp semi-algebraic discrepancy estimates for multi-frequency shift sequences. As an application, we obtain novel upper bounds for the quantum dynamics of long-range quasi-periodic Schr\"odinger operators.
Cite
@article{arxiv.2507.19783,
title = {Semi-algebraic discrepancy estimates for multi-frequency shift sequences with applications to quantum dynamics},
author = {Wencai Liu and Matthew Powell and Yiding Max Tang and Xueyin Wang and Ruixiang Zhang and Justin Zhou},
journal= {arXiv preprint arXiv:2507.19783},
year = {2025}
}
Comments
15 pages, comments welcome!