Optimal $W_1$ and Berry-Esseen bound between the spectral radius of large Chiral non-Hermitian random matrices and Gumbel

Yutao Ma, Siyu Wang

Consider the chiral non-Hermitian random matrix ensemble with parameters $n$ and $v$ and the non Hermiticity parameter $\ddot{I}„=0$ and let $(\hat{I}{\P }_i{)}_{1\le i\le n}$ be its $n$ eigenvalues…