Yukun He

activity

20182022

most citedTowards IID representation learning and its application on biomedical data

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

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math.PR2020

Fluctuations of extreme eigenvalues of sparse Erdős-Rényi graphs

Yukun He, Antti Knowles

We consider a class of sparse random matrices which includes the adjacency matrix of the Erdős-Rényi graph $G (N, p)$ . We show that if $N^{\varepsilon} \leq Np \leq N^{1/3-…

math.PR2018

Local law and complete eigenvector delocalization for supercritical Erdős-Rényi graphs

Yukun He, Antti Knowles, Matteo Marcozzi

We prove a local law for the adjacency matrix of the Erdős-Rényi graph $G (N, p)$ in the supercritical regime $pN \geq C lo g N$ where $G (N, p)$ has with high probability no isolated…

math.PR2018

Mesoscopic eigenvalue density correlations of Wigner matrices

Yukun He, Antti Knowles

We investigate to what extent the microscopic Wigner-Gaudin-Mehta-Dyson (WGMD) (or sine kernel) statistics of random matrix theory remain valid on mesoscopic scales. To that end, w…

math.PR2018

Mesoscopic linear statistics of Wigner matrices of mixed symmetry class

Yukun He

We prove a central limit theorem for the mesoscopic linear statistics of $N \times N$ Wigner matrices $H$ satisfying $E ∣ H_{ij} ∣^{2} = 1/ N$ and $E H_{ij}^{2} = σ / N$ , where…