V. E. Viktorenkov, “Cycle structure of random substitutions on the set of two-color elements. III”, Mat. Vopr. Kriptogr., 13:1 (2022), 7

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Matematicheskie Voprosy Kriptografii [Mathematical Aspects of Cryptography], 2022, Volume 13, Issue 1, Pages 7–31
DOI: https://doi.org/10.4213/mvk400 (Mi mvk400)

Cycle structure of random substitutions on the set of two-color elements. III

V. E. Viktorenkov

Academy of Cryptography of the Russian Federation, Moscow

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DOI: https://doi.org/10.4213/mvk400

Abstract: The study of random equiprobable substitutions with elements marked with two colors is continued. Here we consider series of subsequent elements of the same color in two-color cycles.

Key words: equiprobable substitutions, one-color series, alternating series, partial and reduced substitutions, substitutions of random degree, limit theorems.

Received 12.V.2021

Bibliographic databases:

Document Type: Article

UDC: 519.212.2

Language: Russian

Citation: V. E. Viktorenkov, “Cycle structure of random substitutions on the set of two-color elements. III”, Mat. Vopr. Kriptogr., 13:1 (2022), 7–31

Citation in format AMSBIB

\Bibitem{Vik22}

\by V.~E.~Viktorenkov

\paper Cycle structure of random substitutions on the set of two-color elements. III

\jour Mat. Vopr. Kriptogr.

\yr 2022

\vol 13

\issue 1

\pages 7--31

\mathnet{http://mi.mathnet.ru/mvk400}

\crossref{https://doi.org/10.4213/mvk400}

\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4409138}

Linking options:

https://www.mathnet.ru/eng/mvk400

https://doi.org/10.4213/mvk400

https://www.mathnet.ru/eng/mvk/v13/i1/p7

Cycle of papers

Cycle structure of random permutations on the set of two-color elements. I
V. E. Viktorenkov
Mat. Vopr. Kriptogr., 2019, 10:3, 9–32
Cycle structure of random substitutions on the set of two-color elements. II
V. E. Viktorenkov
Mat. Vopr. Kriptogr., 2021, 12:1, 5–21
Cycle structure of random substitutions on the set of two-color elements. III
V. E. Viktorenkov
Mat. Vopr. Kriptogr., 2022, 13:1, 7–31
Cycle structure of random substitutions on the set of two-color elements. IV
V. E. Viktorenkov
Mat. Vopr. Kriptogr., 2023, 14:4, 5–23

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

Statistics & downloads:
Abstract page:	209
Full-text PDF :	61
References:	60
First page:	6

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