Yutao Ma

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math.PR2026

From Gaussian to Gumbel: extreme eigenvalues of complex Ginibre products with exact rates

Yutao Ma, Xujia Meng

We consider the product of $k_{n}$ independent $n\times n$ complex Ginibre matrices and denote its eigenvalues by $Z_{1},\ldots ,Z_{n}$. Let \(Î±= \lim_{n\to\infty} n / k_{n}…

math.PR2026

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.PR2026

Deviation probabilities and Sharp Berry-Esseen bound for rightmost eigenvalue of large non-Hermitian chiral random matrices

Yutao Ma, Xujia Meng

This paper provides a quantitative analysis of the rightmost eigenvalue for a chiral non-Hermitian random Dirac matrix in the maximally non-Hermitian regime ( $I ¨ = 0$ ). Let $(Ï_i)_{…

math.PR2025

Convergence rate of extreme eigenvalue of Ginibre ensembles to Gumbel distribution

Xinchen Hu, Yutao Ma

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

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<…