Quantum Dynamical Bounds for Quasi-Periodic Operators with Liouville Frequencies
Year: 2025
Type: preprint
Abstract: We establish quantum dynamical upper bounds for quasi-periodic Schrödinger operators with Liouville frequencies. Our approach combines semi-algebraic discrepancy estimates for the Kronecker sequence $\{nα\}$ with quantitative Green's function estimates adapted to the Liouville setting.
Source: arXiv (Cornell University)
Authors: Bradshaw, Matthew, de Jong, Titus, Liu, Wencai, Wang, Audrey, Wang, Xueyin, Yang, Bingheng
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7102553146
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