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Zapiski Nauchnykh Seminarov POMI, 2015, Volume 432, Pages 128–161 (Mi znsl6115)  
This article is cited in 9 scientific papers (total in 9 papers)

Scaling entropy sequence: invariance and examples

P. B. Zatitskiyab

a Chebyshev Laboratory, St. Petersburg State University, St. Petersburg, Russia
b St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences, St. Petersburg, Russia
Full-text PDF (328 kB) Citations (9)
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Abstract: A scaling entropy sequence of an automorphism is an entropy-type metric invariant suggested by A. M. Vershik. We confirm his conjecture that it does not depend on the choice of a semimetric. This means that it is indeed a metric invariant. We also calculate this invariant for several classical dynamical systems.
Key words and phrases: Lebesgue space, semimetric.
Received: 27.10.2014
English version:
Journal of Mathematical Sciences (New York), 2015, Volume 209, Issue 6, Pages 890–909
DOI: https://doi.org/10.1007/s10958-015-2536-9
Bibliographic databases:
Document Type: Article
UDC: 517.518.115+517.987.1+515.124.4
Language: Russian
Citation: P. B. Zatitskiy, “Scaling entropy sequence: invariance and examples”, Representation theory, dynamical systems, combinatorial methods. Part XXIV, Zap. Nauchn. Sem. POMI, 432, POMI, St. Petersburg, 2015, 128–161; J. Math. Sci. (N. Y.), 209:6 (2015), 890–909
Citation in format AMSBIB
\Bibitem{Zat15}
\by P.~B.~Zatitskiy
\paper Scaling entropy sequence: invariance and examples
\inbook Representation theory, dynamical systems, combinatorial methods. Part~XXIV
\serial Zap. Nauchn. Sem. POMI
\yr 2015
\vol 432
\pages 128--161
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6115}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2015
\vol 209
\issue 6
\pages 890--909
\crossref{https://doi.org/10.1007/s10958-015-2536-9}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84939430961}
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  • https://www.mathnet.ru/eng/znsl/v432/p128
    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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