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Matematicheskaya Fizika, Analiz, Geometriya [Mathematical Physics, Analysis, Geometry], 2004, Volume 11, Number 2, Pages 135–160 (Mi jmag196)  

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
Full-text PDF (384 kB) Citations (2)
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
Bibliographic databases:
Document Type: Article
MSC: 60B99, 60H30
Language: Russian
Citation: V. V. Vengerovsky, “Asymptotics of correlators for ensembles of sparse random matrices”, Mat. Fiz. Anal. Geom., 11:2 (2004), 135–160
Citation in format AMSBIB
\Bibitem{Ven04}
\by V.~V.~Vengerovsky
\paper Asymptotics of correlators for ensembles of sparse random matrices
\jour Mat. Fiz. Anal. Geom.
\yr 2004
\vol 11
\issue 2
\pages 135--160
\mathnet{http://mi.mathnet.ru/jmag196}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2083977}
\zmath{https://zbmath.org/?q=an:1066.62026}
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  • https://www.mathnet.ru/eng/jmag/v11/i2/p135
  • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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