Yutao Ma

activity

20172026

most citedDistances between Random Orthogonal Matrices and Independent Normals

14 citations · 14 across the 10 of their papers we have counts for

collaborators

Showing 2025Show all

7 papers · 1 filter

math.PR2025

Precise convergence rate of spectral radius of product of complex Ginibre

Yutao Ma, Xujia Meng

Let $Z_{1}, \dots, Z_{n}$ denote the eigenvalues of the product $\prod_{j = 1}^{k_{n}} A_{j}$ , where ${A_{j}}_{1 \leq j \leq k_{n}}$ are independent $n \times n$ comple…

math.PR2025

Revisit on the convergence rate of normal extremes

Yutao Ma, Bingjie Tian

Let $(X_{i})_{1 \leq i \leq n}$ be independent and identically distributed (i.i.d.) standard Gaussian random variables, and denote by $X_{(n)} = max_{1 \leq i \leq n} X_{i}$ the maximum o…

math.PR2025

How fast does spectral radius of truncated circular unitary ensemble converge?

Yutao Ma, Xujia Meng

Let $z_{1}, \dots, z_{p}$ be the eigenvalues of $A,$ which is the left-top $p \times p$ submatrix of an $n \times n$ Haar-invariant unitary matrix. Suppose there exist two constants $0<…

math.PR2025

Universality of the convergence rate for spectral radius of complex IID random matrices

Xinchen Hu, Yutao Ma

Let $X$ be an $n \times n$ matrix with independent and identically distributed entries $x_{ij} = d n^{- 1/2} x$ for some complex random variable $x$ of mean z…

math.PR2025

Convergence rate of extreme eigenvalue of Ginibre ensembles to Gumbel distribution

Xinchen Hu, Yutao Ma

Let $X$ be a real $(β = 1)$ or complex $(β = 2)$ Ginibre ensemble. Let ${σ_{i}}_{1 \leq i \leq n}$ be the eigenvalues of $X,$ and $Z_{n}$ be some rescaled version of $max_{i} ℜ σ_{i} .$ It was…

math.PR2025

Fisher information approximation of random orthogonal matrices by Gaussian matrices

Yutong Chen, Yutao Ma, Shuhong Xie +1

Let $Γ_{n}$ be an $n \times n$ Haar-invariant orthogonal matrix. Let $Z_{n}$ be the $p \times q$ upper-left submatrix of $Γ_{n}$ and $G_{n}$ be a $p \times q$ matrix whose $pq$ entries a…

math.PR2025

Exact convergence rate of spectral radius of complex Ginibre to Gumbel distribution

Yutao Ma, Xujia Meng

Consider the complex Ginibre ensemble, whose eigenvalues are $(λ_{i})_{1 \leq i \leq n}$ and the spectral radius $R_{n} = max_{1 \leq i \leq n} ∣ λ_{i} ∣.$ Set $X_n=\sqrt{4 γ_{n}}(R_{n}-\sqrt{n}-\fr…