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Matematicheskie Zametki, 2002, Volume 72, Issue 1, Pages 102–117
DOI: https://doi.org/10.4213/mzm408 (Mi mzm408) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Two-State Mealy Automata of Intermediate Growth over a Two-Letter Alphabet

I. I. Reznikova, V. I. Sushchanskiib

a National Taras Shevchenko University of Kyiv
b Silesian University of Technology
Full-text PDF (257 kB) Citations (2)
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DOI: https://doi.org/10.4213/mzm408
Abstract: Two-state automata of intermediate growth over a two-letter alphabet are studied. The asymptotic behavior of the growth function is analyzed. A system of defining relations is found. It is proved that such a system cannot be finite.
Received: 10.03.2001
English version:
Mathematical Notes, 2002, Volume 72, Issue 1, Pages 90–104
DOI: https://doi.org/10.1023/A:1019873206272
Bibliographic databases:
UDC: 519.713
Language: Russian
Citation: I. I. Reznikov, V. I. Sushchanskii, “Two-State Mealy Automata of Intermediate Growth over a Two-Letter Alphabet”, Mat. Zametki, 72:1 (2002), 102–117; Math. Notes, 72:1 (2002), 90–104
Citation in format AMSBIB
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  • https://doi.org/10.4213/mzm408
  • https://www.mathnet.ru/eng/mzm/v72/i1/p102
    • This publication is cited in the following 2 articles:
    1. I. I. Reznikov, V. I. Sushchanskii, “A software system for growth analysis of mealy automata”, Cybern Syst Anal, 42:2 (2006), 265  crossref
    2. Rostislav Grigorchuk, Progress in Mathematics, 248, Infinite Groups: Geometric, Combinatorial and Dynamical Aspects, 2005, 117  crossref
    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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    References:87
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