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Zapiski Nauchnykh Seminarov POMI, 2015, Volume 432, Pages 224–260 (Mi znsl6119)  
This article is cited in 2 scientific papers (total in 2 papers)

Random deviations of ergodic sums for the Pascal adic transformation in the case of the Lebesgue measure

A. R. Minabutdinov

National Research University "Higher School of Economics", St. Petersburg, Russia
Full-text PDF (452 kB) Citations (2)
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Abstract: The paper generalizes results by E. Janvresse, T. de la Rue, and Y. Velenik on fluctuations in ergodic sums for the Pascal adic transformation in the case of the Lebesgue measure for a wide class of functions. In particular, we answer several questions from the above-mentioned paper.
Key words and phrases: Pascal adic transformation, ergodic theorem, self-affine function, Takagi–Blancmange function,.
Received: 16.01.2015
English version:
Journal of Mathematical Sciences (New York), 2015, Volume 209, Issue 6, Pages 953–978
DOI: https://doi.org/10.1007/s10958-015-2540-0
Bibliographic databases:
Document Type: Article
UDC: 517.987.5+519.21
Language: Russian
Citation: A. R. Minabutdinov, “Random deviations of ergodic sums for the Pascal adic transformation in the case of the Lebesgue measure”, Representation theory, dynamical systems, combinatorial methods. Part XXIV, Zap. Nauchn. Sem. POMI, 432, POMI, St. Petersburg, 2015, 224–260; J. Math. Sci. (N. Y.), 209:6 (2015), 953–978
Citation in format AMSBIB
\Bibitem{Min15}
\by A.~R.~Minabutdinov
\paper Random deviations of ergodic sums for the Pascal adic transformation in the case of the Lebesgue measure
\inbook Representation theory, dynamical systems, combinatorial methods. Part~XXIV
\serial Zap. Nauchn. Sem. POMI
\yr 2015
\vol 432
\pages 224--260
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6119}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2015
\vol 209
\issue 6
\pages 953--978
\crossref{https://doi.org/10.1007/s10958-015-2540-0}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84940876702}
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  • https://www.mathnet.ru/eng/znsl/v432/p224
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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