Matematicheskie Voprosy Kriptografii [Mathematical Aspects of Cryptography]
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Matematicheskie Voprosy Kriptografii [Mathematical Aspects of Cryptography], 2021, Volume 12, Issue 4, Pages 59–64
DOI: https://doi.org/10.4213/mvk383 (Mi mvk394) 		 
This article is cited in 2 scientific papers (total in 2 papers)

On the asymptotic normality in the problem on the tuples repetitions in a marked complete tree

V. G. Mikhailov, V. I. Kruglov

Steklov Mathematical Institute of RAS, Moscow
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DOI: https://doi.org/10.4213/mvk383
Abstract: We consider complete $q$-ary trees of height $H$ with vertices marked by random independent marks taking values from some finite set. The number of pairs of paths having length $s$ and identical sequences of vertex marks is investigated. For the distribution of this number we propose sufficient conditions of asymptotic normality for the case when $H\to\infty$ and parameters $s$ and $q$ may vary.
Key words: marked trees, chains of marks, chains on a tree, repetitions of chains, conditions of asymptotic normality.
Received 12.V.2021
Bibliographic databases:
Document Type: Article
UDC: 519.214+519.212.2
Language: Russian
Citation: V. G. Mikhailov, V. I. Kruglov, “On the asymptotic normality in the problem on the tuples repetitions in a marked complete tree”, Mat. Vopr. Kriptogr., 12:4 (2021), 59–64
Citation in format AMSBIB
\Bibitem{MikKru21}
\by V.~G.~Mikhailov, V.~I.~Kruglov
\paper On the asymptotic normality in the problem on the tuples repetitions in a marked complete tree
\jour Mat. Vopr. Kriptogr.
\yr 2021
\vol 12
\issue 4
\pages 59--64
\mathnet{http://mi.mathnet.ru/mvk394}
\crossref{https://doi.org/10.4213/mvk383}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4357869}
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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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