Convex polyhedra of distributions preserved by operations over a finite field
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 4 (2017), pp. 54-58

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We construct families of polytopes in the space of probability distributions over a finite field, which are preserved, i.e. when adding or multiplying independent random variables with distributions from the constructed set, one obtains a result whose distribution belongs to the set as well.
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     author = {A. D. Yashunskii},
     title = {Convex polyhedra of distributions preserved by operations over a finite field},
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A. D. Yashunskii. Convex polyhedra of distributions preserved by operations over a finite field. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 4 (2017), pp. 54-58. http://geodesic.mathdoc.fr/item/VMUMM_2017_4_a8/