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This article is cited in 2 scientific papers (total in 2 papers)
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.
Received 22.IV.2010
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
Linking options:
https://www.mathnet.ru/eng/mvk14https://doi.org/10.4213/mvk14 https://www.mathnet.ru/eng/mvk/v1/i3/p27
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Abstract page: | 397 | Full-text PDF : | 216 | References: | 47 | First page: | 4 |
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