TY - JOUR AB - We consider large non-Hermitian real or complex random matrices X with independent, identically distributed centred entries. We prove that their local eigenvalue statistics near the spectral edge, the unit circle, coincide with those of the Ginibre ensemble, i.e. when the matrix elements of X are Gaussian. This result is the non-Hermitian counterpart of the universality of the Tracy–Widom distribution at the spectral edges of the Wigner ensemble. AU - Cipolloni, Giorgio AU - Erdös, László AU - Schröder, Dominik J ID - 8601 JF - Probability Theory and Related Fields SN - 01788051 TI - Edge universality for non-Hermitian random matrices ER -