Geodesic
On a threshold effect for the mean number of solutions of systems of random equations
Matematičeskie voprosy kriptografii, Tome 10 (2019) no. 3, pp. 67-80 
V. A. Kopyttsev. On a threshold effect for the mean number of solutions of systems of random equations. Matematičeskie voprosy kriptografii, Tome 10 (2019) no. 3, pp. 67-80. http://geodesic.mathdoc.fr/item/MVK_2019_10_3_a3/
@article{MVK_2019_10_3_a3,
     author = {V. A. Kopyttsev},
     title = {On a threshold effect for the mean number of solutions of systems of random equations},
     journal = {Matemati\v{c}eskie voprosy kriptografii},
     pages = {67--80},
     year = {2019},
     volume = {10},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MVK_2019_10_3_a3/}
}
TY  - JOUR
AU  - V. A. Kopyttsev
TI  - On a threshold effect for the mean number of solutions of systems of random equations
JO  - Matematičeskie voprosy kriptografii
PY  - 2019
SP  - 67
EP  - 80
VL  - 10
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/MVK_2019_10_3_a3/
LA  - ru
ID  - MVK_2019_10_3_a3
ER  - 
%0 Journal Article
%A V. A. Kopyttsev
%T On a threshold effect for the mean number of solutions of systems of random equations
%J Matematičeskie voprosy kriptografii
%D 2019
%P 67-80
%V 10
%N 3
%U http://geodesic.mathdoc.fr/item/MVK_2019_10_3_a3/
%G ru
%F MVK_2019_10_3_a3

Voir la notice de l'article provenant de la source Math-Net.Ru

The system with a random sampling of variables in each equation is investigated. The theorem on a threshold effect for the mean number of solutions is proved.

[1] Balakin G. V., Kolchin V. F., Khokhlov V. I., “Gipertsikly v sluchainom gipergrafe”, Diskretnaya matematika, 3:3 (1991), 102–108

[2] Kolchin V. F., Khokhlov V. I., “Porogovyi effekt dlya sistem lineinykh uravnenii spetsialnogo vida”, Diskretnaya matematika, 7:4 (1995), 29–39 | Zbl

[3] Balakin G. V., “Grafy sistem dvuchlennykh uravnenii s bulevymi neizvestnymi”, Teoriya veroyatnostei i ee primeneniya, 40:2 (1995), 241–259 | MR

[4] Kolchin V. F., “O porogovom effekte dlya sistem sluchainykh uravnenii”, Trudy po diskretnoi matematike, 2 (1998), 183–190 | MR | Zbl

[5] Kopyttsev V. A., “Predelnye teoremy dlya chisla reshenii sistemy sluchainykh uravnenii”, Teoriya veroyatnostei i ee primeneniya, 45:1 (2000), 52–72 | DOI | MR

[6] Feller V., Vvedenie v teoriyu veroyatnostei i ee prilozheniya, v. 1, Mir, M., 1964 | MR

[7] Riordan Dzh., Vvedenie v kombinatornyi analiz, IL, M., 1963, 288 pp.