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 2016Show all

3 papers · 1 filter

math.PR2016★ 9 cited

Local law and mesoscopic fluctuations of Dyson Brownian motion for general $β$ and potential

Jiaoyang Huang, Benjamin Landon

We study Dyson Brownian motion with general potential $V$ and for general $β \geq 1$ . For short times $t = o (1)$ and under suitable conditions on $V$ we obtain a local law and corr…

math.PR2016★ 56 cited

Local Kesten--McKay law for random regular graphs

Roland Bauerschmidt, Jiaoyang Huang, Horng-Tzer Yau

We study the adjacency matrices of random $d$ -regular graphs with large but fixed degree $d$ . In the bulk of the spectrum $[- 2 d - 1 + ε, 2 d - 1 - ε]$ down…

math.PR2016

Eigenvector Statistics of Sparse Random Matrices

Paul Bourgade, Jiaoyang Huang, Horng-Tzer Yau

We prove that the bulk eigenvectors of sparse random matrices, i.e. the adjacency matrices of Erdős-Rényi graphs or random regular graphs, are asymptotically jointly normal, provid…

Local law and mesoscopic fluctuations of Dyson Brownian motion for general β and potential

Local Kesten--McKay law for random regular graphs

Eigenvector Statistics of Sparse Random Matrices

Local law and mesoscopic fluctuations of Dyson Brownian motion for general $β$ and potential