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Matematicheskaya Fizika, Analiz, Geometriya [Mathematical Physics, Analysis, Geometry], 2004, Volume 11, Number 2, Pages 135–160
(Mi jmag196)
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This article is cited in 2 scientific papers (total 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.
Received: 12.11.2003
Citation:
V. V. Vengerovsky, “Asymptotics of correlators for ensembles of sparse random matrices”, Mat. Fiz. Anal. Geom., 11:2 (2004), 135–160
Linking options:
https://www.mathnet.ru/eng/jmag196 https://www.mathnet.ru/eng/jmag/v11/i2/p135
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