Ziliang Che

activity

20152019

most citedSpectral Statistics of Sparse Random Graphs with a General Degree Distribution

15 citations · 28 across the 6 of their papers we have counts for

collaborators

6 papers

math.PR2019★ 3 cited

Universality of the least singular value for the sum of random matrices

Ziliang Che, Patrick Lopatto

We consider the least singular value of $M = R^{*} X T + U^{*} Y V$ , where $R, T, U, V$ are independent Haar-distributed unitary matrices and $X, Y$ are deterministic diagonal matrices. Un…

math.PR2018★ 1 cited

The Edge Universality of Correlated Matrices

Arka Adhikari, Ziliang Che

We consider a Gaussian random matrix with correlated entries that have a power law decay of order $d > 2$ and prove universality for the extreme eigenvalues. A local law is proved us…

math.PR2017

Universality of the least singular value for sparse random matrices

Ziliang Che, Patrick Lopatto

We study the distribution of the least singular value associated to an ensemble of sparse random matrices. Our motivating example is the ensemble of $N \times N$ matrices whose entr…

math.PR2017★ 4 cited

Local spectral statistics of the addition of random matrices

Ziliang Che, Benjamin Landon

We consider the local statistics of $H = V^{*} X V + U^{*} Y U$ where $V$ and $U$ are independent Haar-distributed unitary matrices, and $X$ and $Y$ are deterministic real diagonal mat…

math.PR2016★ 5 cited

Universality of random matrices with correlated entries

Ziliang Che

We consider an $N$ by $N$ real symmetric random matrix $X = (x_{ij})$ where $E x_{ij} x_{k l} = ξ_{ij k l}$ . Under the assumption that $(ξ_{ij k l})$ is the discretization of a piece…

math.PR2015★ 15 cited

Spectral Statistics of Sparse Random Graphs with a General Degree Distribution

Ben Adlam, Ziliang Che

We consider the adjacency matrices of sparse random graphs from the Chung-Lu model, where edges are added independently between the $N$ vertices with varying probabilities $p_{ij}$ …