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 Mat. Vopr. Kriptogr.: Year: Volume: Issue: Page: Find

 Mat. Vopr. Kriptogr., 2010, Volume 1, Issue 3, Pages 27–43 (Mi mvk14)

On the limit behaviour of the number of solutions for compatible systems of equations with random selection of unknowns

V. G. Mikhailov

Steklov Mathematical Institute of RAS, Moscow

Abstract: Compatible systems of equations with random selection of binary unknowns are investigated. We consider the case of regular non-uniform polynomial selection of unknowns. The sufficient conditions for the weak convergence of the logarithm of the number of solutions to the Poisson law are found.

Key words: random systems of equations, number of solutions, Poisson limit theorem.

DOI: https://doi.org/10.4213/mvk14

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Document Type: Article
UDC: 519.212.2

Citation: V. G. Mikhailov, “On the limit behaviour of the number of solutions for compatible systems of equations with random selection of unknowns”, Mat. Vopr. Kriptogr., 1:3 (2010), 27–43

Citation in format AMSBIB
\Bibitem{Mik10} \by V.~G.~Mikhailov \paper On the limit behaviour of the number of solutions for compatible systems of equations with random selection of unknowns \jour Mat. Vopr. Kriptogr. \yr 2010 \vol 1 \issue 3 \pages 27--43 \mathnet{http://mi.mathnet.ru/mvk14} \crossref{https://doi.org/10.4213/mvk14}