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On the Correlation Functions of the Characteristic Polynomials of Non-Hermitian Random Matrices with Independent Entries

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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… Click to show full 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.

Keywords: polynomials non; functions characteristic; characteristic polynomials; correlation functions; non hermitian; hermitian random

Journal Title: Journal of Statistical Physics
Year Published: 2019

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