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Название: On the Correlation Function of the Characteristic Polynomials of the Hermitian Wigner Ensemble
Автор: M. Aizenman (Chief Editor)
We consider the asymptotic of the correlation functions of the characteristic polynomials of the hermitian Wigner matrices Hn = n−1/2Wn. We show that for the correlation function of any even order the asymptotic coincides with this for the Gaussian Unitary Ensemble up to a factor, depending only on the fourth moment of the common probability law of entries IW j k , RW j k , i.e. that the higher moments do not contribute to the above limit.