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Matematicheskie Voprosy Kriptografii [Mathematical Aspects of Cryptography], 2017, Volume 8, Issue 4, Pages 63–74
DOI: https://doi.org/10.4213/mvk239 (Mi mvk239) 		 
This article is cited in 7 scientific papers (total in 7 papers)

Distribution of the length of aperiodicity segment in the graph of $k$-fold iteration of uniform random mapping

A. M. Zubkova, V. O. Mironkinb

a Steklov Mathematical Institute of RAS, Moscow
b National Research University Higher School of Economics, Moscow
Full-text PDF (246 kB) Citations (7)
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DOI: https://doi.org/10.4213/mvk239
Abstract: The distribution of the length of the aperiodicity segment in a graph of $k$-fold iteration of random uniform mapping of a finite set is studied. Exact formulas for this distribution are obtained, the limit distribution of the normed length of aperiodicity segment is found for the case when the cardinality of the set tends to infinity.
Key words: equiprobable random mapping, iterations of random mapping, graph of a mapping, aperiodicity segment.
Received 15.III.2017
Bibliographic databases:
Document Type: Article
UDC: 519.212.2+519.719.2
Language: Russian
Citation: A. M. Zubkov, V. O. Mironkin, “Distribution of the length of aperiodicity segment in the graph of $k$-fold iteration of uniform random mapping”, Mat. Vopr. Kriptogr., 8:4 (2017), 63–74
Citation in format AMSBIB
\Bibitem{ZubMir17}
\by A.~M.~Zubkov, V.~O.~Mironkin
\paper Distribution of the length of aperiodicity segment in the graph of $k$-fold iteration of uniform random mapping
\jour Mat. Vopr. Kriptogr.
\yr 2017
\vol 8
\issue 4
\pages 63--74
\mathnet{http://mi.mathnet.ru/mvk239}
\crossref{https://doi.org/10.4213/mvk239}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3770675}
\elib{https://elibrary.ru/item.asp?id=32641309}
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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