Quantum Dynamical Bounds for Quasi-Periodic Operators with Liouville Frequencies
Mathematical Physics
2025-10-30 v1 math.MP
Spectral Theory
Abstract
We establish quantum dynamical upper bounds for quasi-periodic Schr\"odinger operators with Liouville frequencies. Our approach combines semi-algebraic discrepancy estimates for the Kronecker sequence with quantitative Green's function estimates adapted to the Liouville setting.
Keywords
Cite
@article{arxiv.2510.25603,
title = {Quantum Dynamical Bounds for Quasi-Periodic Operators with Liouville Frequencies},
author = {Matthew Bradshaw and Titus de Jong and Wencai Liu and Audrey Wang and Xueyin Wang and Bingheng Yang},
journal= {arXiv preprint arXiv:2510.25603},
year = {2025}
}
Comments
20 pages. comments welcome!