Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2020, Number 5, Pages 57–60 (Mi vmumm4354)  
This article is cited in 1 scientific paper (total in 1 paper)

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Criterion for substitutivity of Sturmian palindromes and one-dimensional factor dynamics

I. A. Reshetnikova, A. Ya. Kanel-Belovba

a Moscow Institute of Physics and Technology (State University), Dolgoprudny, Moscow region
b Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
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Abstract: The paper provides a criterion for substitution of symmetric Sturm words infinite on both sides and its proof, and a theorem on the substitution of factor dynamics of circle rotations.
Key words: Sturm's words, substitutive words, mechanical words, dynamical systems, circle rotation, Rausy induction, symbolic dynamics, factor dynamics.
Funding agency Grant number
Russian Science Foundation 17-11-01377
Received: 06.11.2019
English version:
Moscow University Mathematics Bulletin, Moscow University Måchanics Bulletin, 2020, Volume 75, Issue 5, Pages 216–219
DOI: https://doi.org/10.3103/S002713222005006X
Bibliographic databases:
Document Type: Article
UDC: 519.766
Language: Russian
Citation: I. A. Reshetnikov, A. Ya. Kanel-Belov, “Criterion for substitutivity of Sturmian palindromes and one-dimensional factor dynamics”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2020, no. 5, 57–60; Moscow University Mathematics Bulletin, Moscow University Måchanics Bulletin, 75:5 (2020), 216–219
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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