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

collaborators

4 papers

math.PR2026

The oriented Kesten--McKay law for random regular digraphs

Yukun He, Jiaoyang Huang

We consider the adjacency matrix of a random directed $d$ -regular graph on $N$ vertices. For fixed $d \geq 2$ , we prove that the empirical eigenvalue density converges in probabilit…

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…

math.PR2019★ 1 cited

Bulk eigenvalue fluctuations of sparse random matrices

Yukun He

We consider a class of sparse random matrices, which includes the adjacency matrix of Erdős-Rényi graphs $G (N, p)$ for $p \in [N^{ε - 1}, N^{- ε}]$ . We iden…