Edge universality of sparse Erdős-Rényi digraphs

Yukun He

Let $\mathcal{A}$ be the adjacency matrix of the Erdős-Rényi directed graph $\mathcal{G}(N,p)$. We denote the eigenvalues of $\mathcal{A}$ by ${\lambda }_1^{\mathcal{A}},...,{\lambda }_N^{\mathcal{A}}$, and $|λ_…