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JOURNALS // Zhurnal Matematicheskoi Fiziki, Analiza, Geometrii [Journal of Mathematical Physics, Analysis, Geometry] // Archive

Mat. Fiz. Anal. Geom., 2004 Volume 11, Number 2, Pages 135–160 (Mi jmag196)

This article is cited in 2 papers

Asymptotics of correlators for ensembles of sparse random matrices

V. V. Vengerovsky

B. Verkin Institute for Low Temperature Physics and Engineering, National Academy of Sciences of Ukraine, Khar'kov

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.

MSC: 60B99, 60H30

Received: 12.11.2003



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