Yukun He

activity

20192026

most citedBulk eigenvalue fluctuations of sparse random matrices

1 citations · 1 across the 4 of their papers we have counts for

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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 $0 \leq σ^{2} \leq 1$ . In this paper, we presen…

math.PR2025

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 Erdős-Rényi graph $G (N, p)$ . For $N^{- 1 + o (1)} \leq p \leq 1/2$ , we show that the non-trivia…