Yukun He

collaborators

2 papers

math.PR2026

Extremal eigenvectors of sparse random matrices

Yukun He, Jiaoyang Huang, Chen Wang

We consider a class of sparse random matrices, which includes the adjacency matrix of ErdÅs-RÃ©nyi graph $G (N, p)$ . For $N^{- 1 + o (1)} \leq p \leq 1/2$ , we show that the non-triv…

math.PR2025

Gaussian Waves and Edge Eigenvectors of Random Regular Graphs

Yukun He, Jiaoyang Huang, Horng-Tzer Yau

Backhausz and Szegedy (2019) demonstrated that the almost eigenvectors of random regular graphs converge to Gaussian waves with variance $0 \leq I ¨ ^{2} \leq 1$ . In this paper, we prese…