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Teoriya Veroyatnostei i ee Primeneniya, 1995, Volume 40, Issue 2, Pages 430–437 (Mi tvp3489)  
This article is cited in 10 scientific papers (total in 10 papers)

Short Communications

On the distribution of the number of solutions of random systems of equations which are known to be consistent

V. A. Kopyttsev

Essential Administration of Information Systems
Full-text PDF (1025 kB) Citations (10)
Abstract: The distribution of the number of solutions of the systems in which each equation is specified by the substitution into a function $\varphi(u_1,\dots,u_d)$, $u_j\in\{0,1\}$, binary unknowns taken at random and without replacement from the set $\{x_1,\dots,x_n\}$, $n\ge d$, is studied. It is proved that, under certain conditions the distribution of the logarithm to base 2 of the number of solutions of the obtained system converges to a Poisson distribution.
Keywords: random systems of equations, true solution, the number of solutions, Poisson distribution.
Received: 15.07.1992
English version:
Theory of Probability and its Applications, 1995, Volume 40, Issue 2, Pages 376–383
DOI: https://doi.org/10.1137/1140041
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: V. A. Kopyttsev, “On the distribution of the number of solutions of random systems of equations which are known to be consistent”, Teor. Veroyatnost. i Primenen., 40:2 (1995), 430–437; Theory Probab. Appl., 40:2 (1995), 376–383
Citation in format AMSBIB
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\paper On the distribution of the number of solutions of random systems of equations which are known to be consistent
\jour Teor. Veroyatnost. i Primenen.
\yr 1995
\vol 40
\issue 2
\pages 430--437
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\zmath{https://zbmath.org/?q=an:0852.60074|0847.60049}
\transl
\jour Theory Probab. Appl.
\yr 1995
\vol 40
\issue 2
\pages 376--383
\crossref{https://doi.org/10.1137/1140041}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1996VE35900018}
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  • https://www.mathnet.ru/eng/tvp/v40/i2/p430
    • This publication is cited in the following 10 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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