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On the Correlation Functions of the Characteristic Polynomials of Non-Hermitian Random Matrices with Independent Entries (1902.09390v3)

Published 25 Feb 2019 in math-ph and math.MP

Abstract: The paper is concerned with the asymptotic behavior of the correlation functions of the characteristic polynomials of non-Hermitian random matrices with independent entries. It is shown that the correlation functions behave like that for the Complex Ginibre Ensemble up to a factor depending only on the fourth absolute moment of the common probability law of the matrix entries.

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