Convex Polyhedra of Distributions Preserved by Operations over a Finite Field / A. D. Yashunskii. // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2017. № 4. P. 54-58 [Moscow Univ. Math. Bulletin. Vol. 72, N 2, 2017. P. 165-168].

We construct families of polyhedra in the space of probability distributions over a finite field, which are preserved, i.e., adding or multiplying independent random variables with distributions from the constructed set, the resulting distribution belongs to the same set.

Key words: random variable, finite field, preserved set, convex polytope.

№ 4/2017