4 papers · 2 filters
Poisson statistics of one-dimensional random band matrices
Jiaqi Fan, Guangyi Zou
Consider an random band matrix with bandwidth with centered real Gaussian entries. We prove that, under the (almost) sharp assumption , the bul…
Total Variation Distance between Product Distributions: an Analytic Proxy
Ariel Avital, Aryeh Kontorovich, Roman Vershynin +1
We characterize, up to universal constants, the total variation distance between finite products of arbitrary probability measures by a simple formula. A theorem of Latala reduces…
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…