Zhurnal Matematicheskoi Fiziki, Analiza, Geometrii [Journal of Mathematical Physics, Analysis, Geometry]
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Zhurnal Matematicheskoi Fiziki, Analiza, Geometrii [Journal of Mathematical Physics, Analysis, Geometry], 2005, Volume 1, Number 1, Pages 35–52 (Mi jmag2)  
Eigenvalue distribution of diluted random matrix ensemble with correlated entries appearing in the random

V. V. Vengerovsky

B. Verkin Institute for Low Temperature Physics and Engineering National Academy of Sciences of Ukraine, 47 Lenin Ave., Kharkov, 61103, Ukraine
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Abstract: Existing of weak limit in probability of counting measures of some ensemble of the diluted random matrices is proved. The Stiltjes transform of limiting measure is expressed by the function. This function is unique solution of the functional equation.
Key words and phrases: random matrises, random graphs.
Received: 17.01.2005
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Document Type: Article
MSC: 60B10, 60H30
Language: Russian
Citation: V. V. Vengerovsky, “Eigenvalue distribution of diluted random matrix ensemble with correlated entries appearing in the random”, Zh. Mat. Fiz. Anal. Geom., 1:1 (2005), 35–52
Citation in format AMSBIB
\Bibitem{Ven05}
\by V.~V.~Vengerovsky
\paper Eigenvalue distribution of diluted random matrix ensemble with correlated entries appearing in the random
\jour Zh. Mat. Fiz. Anal. Geom.
\yr 2005
\vol 1
\issue 1
\pages 35--52
\mathnet{http://mi.mathnet.ru/jmag2}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2170083}
\zmath{https://zbmath.org/?q=an:1083.60006}
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