Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2017, Number 4, Pages 54–58 (Mi vmumm83)  
This article is cited in 3 scientific papers (total in 3 papers)

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Convex polyhedra of distributions preserved by operations over a finite field

A. D. Yashunskii

Keldysh Institute of Applied Mathematics of Russian Academy of Sciences, Moscow
Full-text PDF (341 kB) Citations (3)
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Abstract: 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.
Key words: random variable, finite field, preserved set, convex polytope.
Funding agency Grant number
Russian Foundation for Basic Research 14-01-00598
Russian Academy of Sciences - Federal Agency for Scientific Organizations
Received: 04.05.2016
English version:
Moscow University Mathematics Bulletin, 2017, Volume 72, Issue 4, Pages 165–168
DOI: https://doi.org/10.3103/S0027132217040052
Bibliographic databases:
Document Type: Article
UDC: 519.7, 519.21
Language: Russian
Citation: A. D. Yashunskii, “Convex polyhedra of distributions preserved by operations over a finite field”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2017, no. 4, 54–58; Moscow University Mathematics Bulletin, 72:4 (2017), 165–168
Citation in format AMSBIB
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