Bulk universality for complex eigenvalues of real non-symmetric random matrices with i.i.d. entries

Published 15 Feb 2024 in math.PR, math-ph, and math.MP | (2402.10197v2)

Abstract: We consider an ensemble of non-Hermitian matrices with independent identically distributed real entries that have finite moments. We show that its $k$-point correlation function in the bulk away from the real line converges to a universal limit.

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