3 papers
math.PR2026
Generalized noise sensitivity of eigenvectors: All eigenvectors, inhomogeneous variance profiles, and dependent resampling
Xiangyi Zhu, Dmitriy Kunisky
Chatterjee (2016) proved, as an application of his general framework relating superconcentration and chaos, that after the entries of an matrix drawn from the Gaussian…
math.PR2025
Central limit theorems for linear spectral statistics of inhomogeneous random graphs with graphon limits
Xiangyi Zhu, Yizhe Zhu
We establish central limit theorems (CLTs) for the linear spectral statistics of the adjacency matrix of inhomogeneous random graphs across all sparsity regimes, providing explicit…
math.PR2024
Non-backtracking eigenvalues and eigenvectors of random regular graphs and hypergraphs
Xiangyi Zhu, Yizhe Zhu
The non-backtracking operator of a graph is a powerful tool in spectral graph theory and random matrix theory. Most existing results for the non-backtracking operator of a random g…