Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 11 (2004) no. 2, pp. 135-160
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V. V. Vengerovsky. Asymptotics of correlators for ensembles of sparse random matrices. Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 11 (2004) no. 2, pp. 135-160. http://geodesic.mathdoc.fr/item/JMAG_2004_11_2_a1/
@article{JMAG_2004_11_2_a1,
author = {V. V. Vengerovsky},
title = {Asymptotics of correlators for ensembles of sparse random matrices},
journal = {\v{Z}urnal matemati\v{c}eskoj fiziki, analiza, geometrii},
pages = {135--160},
year = {2004},
volume = {11},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/JMAG_2004_11_2_a1/}
}
TY - JOUR
AU - V. V. Vengerovsky
TI - Asymptotics of correlators for ensembles of sparse random matrices
JO - Žurnal matematičeskoj fiziki, analiza, geometrii
PY - 2004
SP - 135
EP - 160
VL - 11
IS - 2
UR - http://geodesic.mathdoc.fr/item/JMAG_2004_11_2_a1/
LA - ru
ID - JMAG_2004_11_2_a1
ER -
%0 Journal Article
%A V. V. Vengerovsky
%T Asymptotics of correlators for ensembles of sparse random matrices
%J Žurnal matematičeskoj fiziki, analiza, geometrii
%D 2004
%P 135-160
%V 11
%N 2
%U http://geodesic.mathdoc.fr/item/JMAG_2004_11_2_a1/
%G ru
%F JMAG_2004_11_2_a1
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.
