Deviation probabilities for extremal eigenvalues of large Chiral non-Hermitian random matrices

Consider the chiral non-Hermitian random matrix ensemble with parameters n and v, and let (zeta i)(1 <= i <= n )be its n eigenvalues with positive x-coordinate. In this paper, we establish deviation probabilities and moderate deviation probabilities for the spectral radius (n/n+v)(1/2 )max(1 <= i <= n)|zeta(i)|(2) , as well as (n/n+v)(1/2 )min(1 <= i <= n)|zeta(i)|(2).