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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2010, Volume 271, Pages 319–334 (Mi tm3227)  
This article is cited in 3 scientific papers (total in 3 papers)

On a substitution subshift related to the Grigorchuk group

Ya. Vorobets

Department of Mathematics, Texas A&M University, College Station, TX, USA
Full-text PDF (294 kB) Citations (3)
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Abstract: We study the dynamics of a substitution subshift given by the substitution $a\to aca$, $b\to d$, $c\to b$, $d\to c$, which is related to the Grigorchuk group. This dynamical system is shown to be, up to a countable set, conjugate to the binary odometer.
Received in February 2010
English version:
Proceedings of the Steklov Institute of Mathematics, 2010, Volume 271, Pages 306–321
DOI: https://doi.org/10.1134/S0081543810040218
Bibliographic databases:
Document Type: Article
UDC: 517.987+517.987.5
Language: English
Citation: Ya. Vorobets, “On a substitution subshift related to the Grigorchuk group”, Differential equations and topology. II, Collected papers. In commemoration of the centenary of the birth of Academician Lev Semenovich Pontryagin, Trudy Mat. Inst. Steklova, 271, MAIK Nauka/Interperiodica, Moscow, 2010, 319–334; Proc. Steklov Inst. Math., 271 (2010), 306–321
Citation in format AMSBIB
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\paper On a~substitution subshift related to the Grigorchuk group
\inbook Differential equations and topology.~II
\bookinfo Collected papers. In commemoration of the centenary of the birth of Academician Lev Semenovich Pontryagin
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\vol 271
\pages 319--334
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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