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Teoreticheskaya i Matematicheskaya Fizika, 1992, Volume 90, Number 2, Pages 163–178 (Mi tmf5516)  
This article is cited in 45 scientific papers (total in 45 papers)

Limiting eigenvalue distribution for band random matrices

S. A. Molchanova, L. A. Pasturb, A. M. Khorunzhiib

a M. V. Lomonosov Moscow State University
b Physical Engineering Institute of Low Temperatures, UkrSSR Academy of Sciences
Full-text PDF (1398 kB) Citations (45)
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Abstract: An equation is obtained for the Stieltjes transform of the normalized eigenvalue distribution of band random matrices in the limit in which the band width and rank of the matrix simultaneously tend to infinity. Conditions under which this limit agrees with the semicircle law are found.
Received: 25.07.1991
English version:
Theoretical and Mathematical Physics, 1992, Volume 90, Issue 2, Pages 108–118
DOI: https://doi.org/10.1007/BF01028434
Bibliographic databases:
Language: Russian
Citation: S. A. Molchanov, L. A. Pastur, A. M. Khorunzhii, “Limiting eigenvalue distribution for band random matrices”, TMF, 90:2 (1992), 163–178; Theoret. and Math. Phys., 90:2 (1992), 108–118
Citation in format AMSBIB
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\paper Limiting eigenvalue distribution for band random matrices
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\issue 2
\pages 163--178
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\transl
\jour Theoret. and Math. Phys.
\yr 1992
\vol 90
\issue 2
\pages 108--118
\crossref{https://doi.org/10.1007/BF01028434}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1992JT83800002}
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  • https://www.mathnet.ru/eng/tmf/v90/i2/p163
    • This publication is cited in the following 45 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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