7 papers
Limiting distributions of the rightmost eigenvalue of the truncated circular Unitary ensemble across all truncation regimes
Yutao Ma, Xujia Meng
We study the limiting distribution of the largest real part of the eigenvalues of truncated unitary matrices. Let \(U_m\) be an \(m\times m\) Haar-distributed unitary matrix, and l…
Precise universal edge asymptotics for planar Coulomb gases with radial external fields
Yutao Ma, Xujia Meng
We investigate the extremal statistics of planar Coulomb gases with radial external fields. For the rightmost eigenvalue and the spectral radius, we establish sharp Berry--Es…
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}\…
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 (). Let $(σ_i)_{1\…
Precise convergence rate of spectral radius of product of complex Ginibre
Yutao Ma, Xujia Meng
Let denote the eigenvalues of the product , where are independent comple…
How fast does spectral radius of truncated circular unitary ensemble converge?
Yutao Ma, Xujia Meng
Let be the eigenvalues of which is the left-top submatrix of an Haar-invariant unitary matrix. Suppose there exist two constants $0<…
Exact convergence rate of spectral radius of complex Ginibre to Gumbel distribution
Yutao Ma, Xujia Meng
Consider the complex Ginibre ensemble, whose eigenvalues are and the spectral radius Set $X_n=\sqrt{4 γ_{n}}(R_{n}-\sqrt{n}-\fr…