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Trudy Moskovskogo Matematicheskogo Obshchestva, 2020, Volume 81, Issue 2, Pages 281–318 (Mi mmo641)  
This article is cited in 8 scientific papers (total in 8 papers)

Measure-preserving rank one transformations

V. V. Ryzhikov

Lomonosov Moscow State University
Full-text PDF (310 kB) Citations (8)
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Abstract: Rank 1 transformations serve as a source of examples in ergodic theory showing a variety of algebraic, asymptotic, and spectral properties of dynamical systems. The properties of a rank one transformation are closely related to the structure of the semigroup of weak limits of its powers. In this vein, known and new constructions of transformations are studied.
Key words and phrases: ergodic action, rank one action, multiple mixing, weak closure, self-joining, spectrum.
Received: 30.04.2020
English version:
Transactions of the Moscow Mathematical Society, 2020, Volume 81, Issue 2, Pages 229–259
DOI: https://doi.org/10.1090/mosc/310
Bibliographic databases:
Document Type: Article
UDC: 517.987
MSC: 28D05
Language: Russian
Citation: V. V. Ryzhikov, “Measure-preserving rank one transformations”, Tr. Mosk. Mat. Obs., 81, no. 2, MCCME, M., 2020, 281–318; Trans. Moscow Math. Soc., 81:2 (2020), 229–259
Citation in format AMSBIB
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\by V.~V.~Ryzhikov
\paper Measure-preserving rank one transformations
\serial Tr. Mosk. Mat. Obs.
\yr 2020
\vol 81
\issue 2
\pages 281--318
\publ MCCME
\publaddr M.
\mathnet{http://mi.mathnet.ru/mmo641}
\elib{https://elibrary.ru/item.asp?id=45863896}
\transl
\jour Trans. Moscow Math. Soc.
\yr 2020
\vol 81
\issue 2
\pages 229--259
\crossref{https://doi.org/10.1090/mosc/310}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85095560355}
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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