5 papers
On the Subgaussianity of Quantized Linear Maps: An AI-Assisted Note
Guangyi Zou, Roman Vershynin
We prove an elementary bounded-differences inequality for functions of non-isotropic Gaussian vectors. Specifically, if has bounded coordinate differences and $X\sim\mathcal N(…
Edge Universality for Inhomogeneous Random Matrices II: Markov Chain Comparison and Critical Statistics
Dang-Zheng Liu, Guangyi Zou
The first paper in this series introduced a \emph{short-to-long mixing} condition that captures mean-field GOE/GUE edge universality in the supercritical sparsity regime, for symme…
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…
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…
Edge statistics for random band matrices
Dang-Zheng Liu, Guangyi Zou
We consider Hermitian and symmetric random band matrices on the -dimensional lattice with bandwidth , focusing on local eigenvalue statistics at…