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Matematicheskie Zametki, 1995, Volume 58, Issue 5, Pages 653–668 (Mi mzm2085)  
This article is cited in 5 scientific papers (total in 6 papers)

Growth functions, rewriting systems, and the Euler characteristic

R. I. Grigorchuk

Steklov Mathematical Institute, Russian Academy of Sciences
Full-text PDF (1553 kB) Citations (6)
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Abstract: We present a formula that expresses the number of admissible words for an arbitrary system of prohibitions in terms of the generating series. We also indicate applications of this formula to the calculation of the topological entropy of symbolic systems and to the calculation of growth functions of groups and algebras.
Received: 05.01.1995
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: R. I. Grigorchuk, “Growth functions, rewriting systems, and the Euler characteristic”, Mat. Zametki, 58:5 (1995), 653–668
Citation in format AMSBIB
\Bibitem{Gri95}
\by R.~I.~Grigorchuk
\paper Growth functions, rewriting systems, and the Euler characteristic
\jour Mat. Zametki
\yr 1995
\vol 58
\issue 5
\pages 653--668
\mathnet{http://mi.mathnet.ru/mzm2085}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1378777}
\zmath{https://zbmath.org/?q=an:0860.68084}
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  • https://www.mathnet.ru/eng/mzm2085
  • https://www.mathnet.ru/eng/mzm/v58/i5/p653
    Erratum
    This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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    Abstract page:426
    Full-text PDF :178
    References:51
    First page:5
     
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