Abstract:
We study asymptotic behaviour of the correlation functions of sparse random $N\times N$ matrices. It is shown that the main term of the correlation function of $k$th and $m$th moments of the integrated density of states is $N^{-1}n_{k,m}$. The closed system of recurrent relations for coefficients $\{n_{k,m}\}_{k,m=1}^\infty$ was obtained.