Xinchen Hu

collaborators

2 papers

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…