Fan Yang

activity

20162026

most citedEdge universality of separable covariance matrices

22 citations · 181 across the 28 of their papers we have counts for

collaborators

Showing 2020Show all

4 papers · 1 filter

math.CA2020

A Polynomial Roth Theorem for Corners in Finite Fields

Rui Han, Michael T Lacey, Fan Yang

We prove a Roth type theorem for polynomial corners in the finite field setting. Let $ϕ_{1}$ and $ϕ_{2}$ be two polynomials of distinct degree. For sufficiently large primes $p$ , any s…

math.PR2020★ 2 cited

Edge statistics of large dimensional deformed rectangular matrices

Xiucai Ding, Fan Yang

We consider the edge statistics of large dimensional deformed rectangular matrices of the form $Y_{t} = Y + t X,$ where $Y$ is a $p \times n$ deterministic signal matrix whose rank…

math.PR2020★ 6 cited

Linear spectral statistics of eigenvectors of anisotropic sample covariance matrices

Fan Yang

Consider sample covariance matrices of the form $Q := Σ^{1/2} X X^{⊤} Σ^{1/2}$ , where $X = (x_{ij})$ is an $n \times N$ random matrix whose entries are independent random variables wit…

math.PR2020★ 9 cited

Sample canonical correlation coefficients of high-dimensional random vectors: local law and Tracy-Widom limit

Fan Yang

Consider two random vectors $C_{1}^{1/2} x \in R^{p}$ and $C_{2}^{1/2} y \in R^{q}$ , where the entries of $x$ and $y$ are i.i.d…