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Zapiski Nauchnykh Seminarov POMI, 2015, Volume 437, Pages 145–183 (Mi znsl6177)  
This article is cited in 4 scientific papers (total in 4 papers)

Limiting curves for the Pascal adic transformation

A. A. Lodkina, A. R. Minabutdinovb

a St. Petersburg State University, St. Petersburg, Russia
b National Research University "Higher School of Economics", St. Petersburg, Russia
Full-text PDF (462 kB) Citations (4)
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Abstract: The paper generalizes the results by E. Janvresse, T. de la Rue, and Y. Velenik on fluctuations in ergodic sums for the Pascal adic transformation to the case of an arbitrary ergodic invariant measure and cylinder functions.
Key words and phrases: Pascal-adic transformation, ergodic theorem, Takagi function, Krawtchouk polynomials.
Funding agency Grant number
Russian Foundation for Basic Research 14-01-00373
Received: 12.10.2015
English version:
Journal of Mathematical Sciences (New York), 2016, Volume 216, Issue 1, Pages 94–119
DOI: https://doi.org/10.1007/s10958-016-2890-2
Bibliographic databases:
Document Type: Article
UDC: 517.987.5+519.21
Language: Russian
Citation: A. A. Lodkin, A. R. Minabutdinov, “Limiting curves for the Pascal adic transformation”, Representation theory, dynamical systems, combinatorial and algoritmic methods. Part XXVI. Representation theory, dynamical systems, combinatorial methods, Zap. Nauchn. Sem. POMI, 437, POMI, St. Petersburg, 2015, 145–183; J. Math. Sci. (N. Y.), 216:1 (2016), 94–119
Citation in format AMSBIB
\Bibitem{LodMin15}
\by A.~A.~Lodkin, A.~R.~Minabutdinov
\paper Limiting curves for the Pascal adic transformation
\inbook Representation theory, dynamical systems, combinatorial and algoritmic methods. Part~XXVI. Representation theory, dynamical systems, combinatorial methods
\serial Zap. Nauchn. Sem. POMI
\yr 2015
\vol 437
\pages 145--183
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6177}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3499912}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2016
\vol 216
\issue 1
\pages 94--119
\crossref{https://doi.org/10.1007/s10958-016-2890-2}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84969802008}
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  • https://www.mathnet.ru/eng/znsl/v437/p145
    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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