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Teoriya Veroyatnostei i ee Primeneniya, 1980, Volume 25, Issue 3, Pages 513–522 (Mi tvp1091)  
This article is cited in 5 scientific papers (total in 5 papers)

Central limit theorem for the spectrum of random Jacobi's matrices

A. Ja. Reznikova

Moscow
Full-text PDF (664 kB) Citations (5)
Abstract: We consider the Jacobi's difference operator (infinite-dimensional matrix) such that the random variables on its main diagonal are independent and identically distributed with continuous density having compact support. The spectral properties of this operator are studied and the central limit theorem for the spectral distribution function is proved.
Received: 19.03.1979
English version:
Theory of Probability and its Applications, 1981, Volume 25, Issue 3, Pages 504–513
DOI: https://doi.org/10.1137/1125062
Bibliographic databases:
Language: Russian
Citation: A. Ja. Reznikova, “Central limit theorem for the spectrum of random Jacobi's matrices”, Teor. Veroyatnost. i Primenen., 25:3 (1980), 513–522; Theory Probab. Appl., 25:3 (1981), 504–513
Citation in format AMSBIB
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\by A.~Ja.~Reznikova
\paper Central limit theorem for the spectrum of random Jacobi's matrices
\jour Teor. Veroyatnost. i Primenen.
\yr 1980
\vol 25
\issue 3
\pages 513--522
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\zmath{https://zbmath.org/?q=an:0462.60028|0436.60021}
\transl
\jour Theory Probab. Appl.
\yr 1981
\vol 25
\issue 3
\pages 504--513
\crossref{https://doi.org/10.1137/1125062}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1980MB70100006}
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  • https://www.mathnet.ru/eng/tvp/v25/i3/p513
    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теория вероятностей и ее применения Theory of Probability and its Applications
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