Dang-Zheng Liu

collaborators

3 papers

math.PR2025

Edge Universality for Inhomogeneous Random Matrices

Dang-Zheng Liu, Guangyi Zou

We consider symmetric and Hermitian random matrices whose entries are independent and symmetric random variables with an arbitrary variance pattern. Under a novel Short-to-Long Mix…

math.PR2024

Outliers for deformed inhomogeneous random matrices

Ruohan Geng, Dang-Zheng Liu, Guangyi Zou

Inhomogeneous random matrices with non-trivial variance profiles determined by symmetric stochastic matrices and with independent sub-Gaussian entries up to Hermitian symmetry, enc…

math.PR2024

Edge statistics for random band matrices

Dang-Zheng Liu, Guangyi Zou

We consider Hermitian and symmetric random band matrices on the $d$ -dimensional lattice $(Z / L Z)^{d}$ with bandwidth $W$ , focusing on local eigenvalue statistics at…