29 research outputs found
On the correlation function of the characteristic polynomials of the hermitian Wigner ensemble
We consider the asymptotics of the correlation functions of the
characteristic polynomials of the hermitian Wigner matrices .
We show that for the correlation function of any even order the asymptotic
coincides with this for the GUE up to a factor, depending only on the forth
moment of the common probability law of entries , ,
i.e. that the higher moments of do not contribute to the above limit.Comment: 20