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Matematicheskie Voprosy Kriptografii [Mathematical Aspects of Cryptography], 2018, Volume 9, Issue 3, Pages 99–108
DOI: https://doi.org/10.4213/mvk264 (Mi mvk264) 		 
This article is cited in 5 scientific papers (total in 5 papers)

On the sets of images of $k$-fold iteration of uniform random mapping

V. O. Mironkina, V. G. Mikhailovb

a National Research University Higher School of Economics, Moscow
b Steklov Mathematical Institute of RAS, Moscow
Full-text PDF (201 kB) Citations (5)
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DOI: https://doi.org/10.4213/mvk264
Abstract: The properties of the graph of $k$-fold iteration of uniform random mapping $f\colon \{1,\ldots,n\}\to \{1,\ldots,n\}$ are studied. Some recurrence formulas for the probabilities for a vertex to belong to the set of images $f^k(\{1,\ldots,n\})$ and to the set of the initial vertices in the graph of $f^k$ are obtained.
Key words: uniform random mapping, iteration of random mapping, graph of a mapping, image, pre-image, initial vertex.
Received 11.V.2017, 05.VI.2018
Bibliographic databases:
Document Type: Article
UDC: 519.212.2+519.719.2
Language: Russian
Citation: V. O. Mironkin, V. G. Mikhailov, “On the sets of images of $k$-fold iteration of uniform random mapping”, Mat. Vopr. Kriptogr., 9:3 (2018), 99–108
Citation in format AMSBIB
\Bibitem{MirMik18}
\by V.~O.~Mironkin, V.~G.~Mikhailov
\paper On the sets of images of $k$-fold iteration of uniform random mapping
\jour Mat. Vopr. Kriptogr.
\yr 2018
\vol 9
\issue 3
\pages 99--108
\mathnet{http://mi.mathnet.ru/mvk264}
\crossref{https://doi.org/10.4213/mvk264}
\elib{https://elibrary.ru/item.asp?id=35601224}
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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