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Zapiski Nauchnykh Seminarov POMI, 1999, Volume 256, Pages 5–18 (Mi znsl951)  
This article is cited in 12 scientific papers (total in 13 papers)

Numerical characteristics of groups and the relations between them

A. M. Vershik

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Full-text PDF (197 kB) Citations (13)
Abstract: The entropy of the random walk on the discrete contable group could be used for comparison of the system of the generators. Fundamental inequality between growth, entropy and escape gives the possibility to define “the best” system of the generators. We formulate a new circle of the problems related to the various growth and asymptotics on the groups.
Received: 27.06.1999
English version:
Journal of Mathematical Sciences (New York), 2001, Volume 107, Issue 5, Pages 4147–4157
DOI: https://doi.org/10.1023/A:1012409221170
Bibliographic databases:
UDC: 517.896+512.54
Language: Russian
Citation: A. M. Vershik, “Numerical characteristics of groups and the relations between them”, Representation theory, dynamical systems, combinatorial and algoritmic methods. Part III, Zap. Nauchn. Sem. POMI, 256, POMI, St. Petersburg, 1999, 5–18; J. Math. Sci. (New York), 107:5 (2001), 4147–4157
Citation in format AMSBIB
\Bibitem{Ver99}
\by A.~M.~Vershik
\paper Numerical characteristics of groups and the relations between them
\inbook Representation theory, dynamical systems, combinatorial and algoritmic methods. Part~III
\serial Zap. Nauchn. Sem. POMI
\yr 1999
\vol 256
\pages 5--18
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl951}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1708554}
\zmath{https://zbmath.org/?q=an:0996.20057}
\transl
\jour J. Math. Sci. (New York)
\yr 2001
\vol 107
\issue 5
\pages 4147--4157
\crossref{https://doi.org/10.1023/A:1012409221170}
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    • This publication is cited in the following 13 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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