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Zapiski Nauchnykh Seminarov POMI, 2015, Volume 436, Pages 136–166 (Mi znsl6164)  

This article is cited in 8 scientific papers (total in 8 papers)

On the possible growth rate of a scaling entropy sequence

P. B. Zatitskiyab

a Chebyshev Laboratory, St. Petersburg State University, Department of Mathematics and Mechanics, St. Petersburg, Russia
b St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences, St. Petersburg, Russia
Full-text PDF (324 kB) Citations (8)
References:
Abstract: We define a scaling entropy sequence of a group action and give a family of examples that exhaust all possible growth rates of entropy scaling sequences for actions of the groups $\mathbb Z$ and $\oplus\mathbb Z_2$.
Key words and phrases: dynamical system, entropy, scaling sequence.
Funding agency Grant number
Russian Science Foundation 14-11-00581
Received: 15.09.2015
English version:
Journal of Mathematical Sciences (New York), 2016, Volume 215, Issue 6, Pages 715–733
DOI: https://doi.org/10.1007/s10958-016-2877-z
Bibliographic databases:
Document Type: Article
UDC: 517.987.5
Language: Russian
Citation: P. B. Zatitskiy, “On the possible growth rate of a scaling entropy sequence”, Representation theory, dynamical systems, combinatorial methods. Part XXV, Zap. Nauchn. Sem. POMI, 436, POMI, St. Petersburg, 2015, 136–166; J. Math. Sci. (N. Y.), 215:6 (2016), 715–733
Citation in format AMSBIB
\Bibitem{Zat15}
\by P.~B.~Zatitskiy
\paper On the possible growth rate of a~scaling entropy sequence
\inbook Representation theory, dynamical systems, combinatorial methods. Part~XXV
\serial Zap. Nauchn. Sem. POMI
\yr 2015
\vol 436
\pages 136--166
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6164}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3498190}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2016
\vol 215
\issue 6
\pages 715--733
\crossref{https://doi.org/10.1007/s10958-016-2877-z}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84966712908}
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  • https://www.mathnet.ru/eng/znsl/v436/p136
  • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    References:39
     
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