2 papers
math.PR2026
Order statistics for edge eigenvectors of Wigner matrices
Zhigang Bao, Teodor Bucht, Kevin Schnelli
In this paper, we establish a general comparison theorem for the order statistics of the edge eigenvectors for generalized Wigner matrices. Consequently, we derive the Gumbel law f…
math.PR2025
Quantitative Tracy-Widom laws for sparse random matrices
Teodor Bucht, Kevin Schnelli, Yuanyuan Xu
We consider the fluctuations of the largest eigenvalue of sparse random matrices, the class of random matrices that includes the normalized adjacency matrices of the ErdÅs-Rényi…