Xujia Meng

collaborators

3 papers

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

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

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…