2 papers
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…
math.PR2024
Precise asymptotics for the spectral radius of a large random matrix
Giorgio Cipolloni, László ErdÅs, Yuanyuan Xu
We consider the spectral radius of a large random matrix with independent, identically distributed entries. We show that its typical size is given by a precise three-term asymp…