Ziliang Che

activity

20162019

most citedThe Edge Universality of Correlated Matrices

1 citations · 1 across the 1 of their papers we have counts for

collaborators

3 papers

math.PR2019

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.PR2016

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…