2 papers
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.PR2025
Dyson Trace Flow and Multivariate Dynamic Coupled Semicircle Law
Cong Chen, Yong Li
Interacting random matrix systems are fundamental to modern theoretical physics and data science, yet a unified framework for their analysis has been lacking. This work introduces…