Jiaoyang Huang

activity

20132026

most citedBulk universality of sparse random matrices

69 citations · 455 across the 44 of their papers we have counts for

collaborators

Showing 2015 · math.PRShow all

3 papers · 2 filters

math.PR2015★ 8 cited

Spectral statistics of sparse Erdős-Rényi graph Laplacians

Jiaoyang Huang, Benjamin Landon

We consider the bulk eigenvalue statistics of Laplacian matrices of large Erdős-Rényi random graphs in the regime $p \geq N^{δ} / N$ for any fixed $δ > 0$ . We prove a local law down to t…

math.PR2015★ 53 cited

Bulk eigenvalue statistics for random regular graphs

Roland Bauerschmidt, Jiaoyang Huang, Antti Knowles +1

We consider the uniform random $d$ -regular graph on $N$ vertices, with $d \in [N^{α}, N^{2/3 - α}]$ for arbitrary $α > 0$ . We prove that in the bulk of the spectrum the local eigenvalue…

math.PR2015★ 69 cited

Bulk universality of sparse random matrices

Jiaoyang Huang, Benjamin Landon, Horng-Tzer Yau

We consider the adjacency matrix of the ensemble of Erdős-Rényi random graphs which consists of graphs on $N$ vertices in which each edge occurs independently with probability $p$ .…