Yutao Ma

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math.PR2026

Precise universal edge asymptotics for planar $β = 2$ Coulomb gases with radial external fields

Yutao Ma, Xujia Meng

We investigate the extremal statistics of planar $β = 2$ Coulomb gases with radial external fields. For the rightmost eigenvalue and the spectral radius, we establish sharp Berry--Es…

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 \(α= \lim_{n\to\infty} n / k_{n}\…

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 ( $τ = 0$ ). Let $(σ_i)_{1\…

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

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…

Precise universal edge asymptotics for planar β=2 Coulomb gases with radial external fields

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

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

Precise convergence rate of spectral radius of product of complex Ginibre

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

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

Precise universal edge asymptotics for planar $β = 2$ Coulomb gases with radial external fields