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Matematicheskie Zametki, 2024, Volume 116, Issue 1, Pages 77–90
DOI: https://doi.org/10.4213/mzm14243 (Mi mzm14243) 		 
This article is cited in 1 scientific paper (total in 1 paper)

$n$-Valued coset groups and dynamics

M. I. Kornevab

a Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
b National Research University Higher School of Economics, Moscow
Full-text PDF (796 kB) Citations (1) English version article
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DOI: https://doi.org/10.4213/mzm14243
Abstract: Asymptotic and exact formulas for the growth functions of certain families of $n$-valued coset groups are obtained, and the relationship between the theory of $n$-valued groups and symbolic dynamics is described.
Keywords: $n$-valued coset group, growth function, combinatorics of words, dynamical system, $n$-bonacci number.
Funding agency Grant number
National Research University Higher School of Economics
This work was performed in the framework of the project “Mirror laboratories” at National Research University Higher School of Economics.
Received: 02.02.2024
Revised: 22.02.2024
Published: 01.07.2024
English version:
Mathematical Notes, 2024, Volume 116, Issue 1, Pages 66–76
DOI: https://doi.org/10.1134/S000143462407006X
Bibliographic databases:
Document Type: Article
UDC: 512.54
MSC: 20-XX
Language: Russian
Citation: M. I. Kornev, “$n$-Valued coset groups and dynamics”, Mat. Zametki, 116:1 (2024), 77–90; Math. Notes, 116:1 (2024), 66–76
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
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