Yukun He

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math.PR2025

Edge universality of sparse ErdÅs-RÃ©nyi digraphs

Yukun He

Let $A$ be the adjacency matrix of the ErdÅs-RÃ©nyi directed graph $G (N, p)$ . We denote the eigenvalues of $A$ by $I^»_{1}^{A}, ..., I^»_{N}^{A}$ , and…

math.PR2024

Spectral gap and edge universality of dense random regular graphs

Yukun He

Let $A$ be the adjacency matrix of a random $d$ -regular graph on $N$ vertices, and we denote its eigenvalues by $I^»_{1} \geq I^»_{2} \dots \geq I^»_{N}$ . For $N^{2/3}\ll d\leq N/…

Edge universality of sparse ErdÅs-RÃ©nyi digraphs

Spectral gap and edge universality of dense random regular graphs

Edge universality of sparse ErdÅs-RÃ©nyi digraphs