Showing math.DSShow all
3 papers · 1 filter
math.DS2026
Linking effective Ratner equidistribution to the semicircle law for skew-shift matrices
Cong Chen, Yong Li
We consider large Hermitian matrices whose entries are defined by evaluating the exponential function along orbits of the skew-shift \(\frac{j(j-1)}{2}Ï+ jy + x \mod 1\) for irrat…
math.DS2026
Statistical Ensemble Deviation Estimates for Nearly Integrable Hamiltonian Systems
Xinyu Liu, Yong Li
This paper studies quantitative deviation bounds for statistical ensembles evolving under the one-parameter flow of a nearly integrable Hamiltonian system. Combining Nekhoroshev-ty…
math.DS2025
KAM theory at the Quantum resonance
Huanhuan Yuana, Yong Li
We consider the semiclassical operator on , where the symbol of corresponds to a perturbed cla…