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Trudy Moskovskogo Matematicheskogo Obshchestva, 2013, Volume 74, Issue 1, Pages 201–208 (Mi mmo544)  
This article is cited in 9 scientific papers (total in 9 papers)

Bounded ergodic constructions, disjointness, and weak limits of powers

V. V. Ryzhikov

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Full-text PDF (249 kB) Citations (9)
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Abstract: This paper is devoted to the disjointness property of powers of a totally ergodic bounded construction of rank 1 and some generalizations of this result. We look at applications to the problem when the Möbius function is independent of the sequence induced by a bounded construction.
Key words and phrases: ergodic power of a transformation; construction of rank one; disjointness of dynamical systems; Möbius function.
Received: 28.03.2013
English version:
Transactions of the Moscow Mathematical Society, 2013, Volume 74, Pages 165–171
DOI: https://doi.org/10.1090/S0077-1554-2014-00214-4
Bibliographic databases:
Document Type: Article
UDC: 517.987
MSC: Primary 28D05; Secondary 58F11
Language: Russian
Citation: V. V. Ryzhikov, “Bounded ergodic constructions, disjointness, and weak limits of powers”, Tr. Mosk. Mat. Obs., 74, no. 1, MCCME, M., 2013, 201–208; Trans. Moscow Math. Soc., 74 (2013), 165–171
Citation in format AMSBIB
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\by V.~V.~Ryzhikov
\paper Bounded ergodic constructions, disjointness, and weak limits of powers
\serial Tr. Mosk. Mat. Obs.
\yr 2013
\vol 74
\issue 1
\pages 201--208
\publ MCCME
\publaddr M.
\mathnet{http://mi.mathnet.ru/mmo544}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3235793}
\zmath{https://zbmath.org/?q=an:06371559}
\elib{https://elibrary.ru/item.asp?id=21369367}
\transl
\jour Trans. Moscow Math. Soc.
\yr 2013
\vol 74
\pages 165--171
\crossref{https://doi.org/10.1090/S0077-1554-2014-00214-4}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84960130173}
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  • https://www.mathnet.ru/eng/mmo/v74/i1/p201
    • 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
    		Trudy Moskovskogo Matematicheskogo Obshchestva
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