Matematicheskie Voprosy Kriptografii [Mathematical Aspects of Cryptography]
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Matematicheskie Voprosy Kriptografii [Mathematical Aspects of Cryptography], 2019, Volume 10, Issue 3, Pages 89–99
DOI: https://doi.org/10.4213/mvk302 (Mi mvk302) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Distribution of the length of aperiodicity segment in the graph of independent uniform random mappings composition

V. O. Mironkin

National Research University Higher School of Economics, Moscow
Full-text PDF (457 kB) Citations (2)
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DOI: https://doi.org/10.4213/mvk302
Abstract: We consider graph of independent uniform random mappings composition. The distribution of the length of aperiodicity segment in such graph is studied. Exact and asymptotic expressions as well as inequalities for the probability distribution, mathematical expectation of the length of aperiodicity segment, the number of vertices with aperiodicity segment of given length are obtained.
Key words: uniform random mapping, composition of mappings, graph of a mapping, aperiodicity segment.
Received 29.IV.2019
Document Type: Article
UDC: 519.212.2+519.719.2
Language: Russian
Citation: V. O. Mironkin, “Distribution of the length of aperiodicity segment in the graph of independent uniform random mappings composition”, Mat. Vopr. Kriptogr., 10:3 (2019), 89–99
Citation in format AMSBIB
\Bibitem{Mir19}
\by V.~O.~Mironkin
\paper Distribution of the length of aperiodicity segment in the graph of~independent uniform random mappings composition
\jour Mat. Vopr. Kriptogr.
\yr 2019
\vol 10
\issue 3
\pages 89--99
\mathnet{http://mi.mathnet.ru/mvk302}
\crossref{https://doi.org/10.4213/mvk302}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические вопросы криптографии
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