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Zapiski Nauchnykh Seminarov POMI, 2010, Volume 378, Pages 58–72 (Mi znsl3828)  
This article is cited in 7 scientific papers (total in 7 papers)

Asymptotic behavior of the scaling entropy of the Pascal adic transformation

A. A. Lodkin, I. E. Manaev, A. R. Minabutdinov

Saint-Petersburg State University, Saint-Petersburg, Russia
Full-text PDF (854 kB) Citations (7)
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Abstract: In this paper, we give an estimation for the growth of the scaling sequence of the Pascal adic transformation with respect to the $\sup$-metric. We construct a special class of $\alpha$-names of positive cumulative measure. The linear growth of its cardinality implies the logarithmic growth of the scaling sequence. Bibl. 14 titles.
Key words and phrases: Pascal adic transformation, scaling sequence, entropy.
Received: 09.10.2010
English version:
Journal of Mathematical Sciences (New York), 2011, Volume 174, Issue 1, Pages 28–35
DOI: https://doi.org/10.1007/s10958-011-0278-x
Bibliographic databases:
Document Type: Article
UDC: 517.987.5
Language: Russian
Citation: A. A. Lodkin, I. E. Manaev, A. R. Minabutdinov, “Asymptotic behavior of the scaling entropy of the Pascal adic transformation”, Representation theory, dynamical systems, combinatorial methods. Part XVIII, Zap. Nauchn. Sem. POMI, 378, POMI, St. Petersburg, 2010, 58–72; J. Math. Sci. (N. Y.), 174:1 (2011), 28–35
Citation in format AMSBIB
\Bibitem{LodManMin10}
\by A.~A.~Lodkin, I.~E.~Manaev, A.~R.~Minabutdinov
\paper Asymptotic behavior of the scaling entropy of the Pascal adic transformation
\inbook Representation theory, dynamical systems, combinatorial methods. Part~XVIII
\serial Zap. Nauchn. Sem. POMI
\yr 2010
\vol 378
\pages 58--72
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl3828}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2011
\vol 174
\issue 1
\pages 28--35
\crossref{https://doi.org/10.1007/s10958-011-0278-x}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-79952814585}
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  • https://www.mathnet.ru/eng/znsl/v378/p58
    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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