M. Marcozzi

collaborators

2 papers

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-ph2018

Diffusion Profile for Random Band Matrices: a Short Proof

Yukun He, Matteo Marcozzi

Let $H$ be a Hermitian random matrix whose entries $H_{x y}$ are independent, centred random variables with variances $S_{x y} = E ∣ H_{x y} ∣^{2}$ , where $x, y \in (\mathbb Z/L\ma…