Loading [MathJax]/jax/output/SVG/config.js
Matematicheskie Zametki
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Mat. Zametki:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

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)
References:
PDF
HTML
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
\Bibitem{RezSus02}
\by I.~I.~Reznikov, V.~I.~Sushchanskii
\paper Two-State Mealy Automata of Intermediate Growth over a Two-Letter Alphabet
\jour Mat. Zametki
\yr 2002
\vol 72
\issue 1
\pages 102--117
\mathnet{http://mi.mathnet.ru/mzm408}
\crossref{https://doi.org/10.4213/mzm408}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1942586}
\zmath{https://zbmath.org/?q=an:1027.20048}
\transl
\jour Math. Notes
\yr 2002
\vol 72
\issue 1
\pages 90--104
\crossref{https://doi.org/10.1023/A:1019873206272}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000178299100010}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-0141627689}
Linking options:
  • https://www.mathnet.ru/eng/mzm408
  • 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
    Statistics & downloads:
    Abstract page:545
    Full-text PDF :221
    References:87
    First page:1
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025