Matematičeskie voprosy kriptografii, Tome 1 (2010) no. 3, pp. 27-43
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V. G. Mikhailov. On the limit behaviour of the number of solutions for compatible systems of equations with random selection of unknowns. Matematičeskie voprosy kriptografii, Tome 1 (2010) no. 3, pp. 27-43. http://geodesic.mathdoc.fr/item/MVK_2010_1_3_a2/
@article{MVK_2010_1_3_a2,
author = {V. G. Mikhailov},
title = {On the limit behaviour of the number of solutions for compatible systems of equations with random selection of unknowns},
journal = {Matemati\v{c}eskie voprosy kriptografii},
pages = {27--43},
year = {2010},
volume = {1},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MVK_2010_1_3_a2/}
}
TY - JOUR
AU - V. G. Mikhailov
TI - On the limit behaviour of the number of solutions for compatible systems of equations with random selection of unknowns
JO - Matematičeskie voprosy kriptografii
PY - 2010
SP - 27
EP - 43
VL - 1
IS - 3
UR - http://geodesic.mathdoc.fr/item/MVK_2010_1_3_a2/
LA - ru
ID - MVK_2010_1_3_a2
ER -
%0 Journal Article
%A V. G. Mikhailov
%T On the limit behaviour of the number of solutions for compatible systems of equations with random selection of unknowns
%J Matematičeskie voprosy kriptografii
%D 2010
%P 27-43
%V 1
%N 3
%U http://geodesic.mathdoc.fr/item/MVK_2010_1_3_a2/
%G ru
%F MVK_2010_1_3_a2
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.
[5] Mikhailov V. G., “Svedenie zadachi o predelnom povedenii chisla reshenii sistemy uravnenii so sluchainym vkhozhdeniem neizvestnykh k odnoi zadache o razmeschenii chastits”, Trudy po diskretnoi matematike, 11, no. 2, FIZMATLIT, M., 2008, 112–124