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Zapiski Nauchnykh Seminarov POMI, 2008, Volume 360, Pages 70–90 (Mi znsl2159)  
This article is cited in 4 scientific papers (total in 5 papers)

The adic realization of the Morse transformation and the extension of its action to the solenoid

A. M. Vershika, B. Solomyakb

a St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
b Department of Mathematics, University of Washington
Full-text PDF (281 kB) Citations (5)
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Abstract: We consider the adic realization of the Morse transformation on the additive group of integer dyadic numbers. We discuss the arithmetic properties of this action. Then we extend this action to an action of the group of rational dyadic numbers on the solenoid. Bibl. – 14 titles.
Received: 21.11.2008
English version:
Journal of Mathematical Sciences (New York), 2009, Volume 158, Issue 6, Pages 809–818
DOI: https://doi.org/10.1007/s10958-009-9414-2
Bibliographic databases:
UDC: 517.987+511
Language: Russian
Citation: A. M. Vershik, B. Solomyak, “The adic realization of the Morse transformation and the extension of its action to the solenoid”, Representation theory, dynamics systems, combinatorial methods. Part XVI, Zap. Nauchn. Sem. POMI, 360, POMI, St. Petersburg, 2008, 70–90; J. Math. Sci. (N. Y.), 158:6 (2009), 809–818
Citation in format AMSBIB
\Bibitem{VerSol08}
\by A.~M.~Vershik, B.~Solomyak
\paper The adic realization of the Morse transformation and the extension of its action to the solenoid
\inbook Representation theory, dynamics systems, combinatorial methods. Part~XVI
\serial Zap. Nauchn. Sem. POMI
\yr 2008
\vol 360
\pages 70--90
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl2159}
\zmath{https://zbmath.org/?q=an:05632967}
\elib{https://elibrary.ru/item.asp?id=13759290}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2009
\vol 158
\issue 6
\pages 809--818
\crossref{https://doi.org/10.1007/s10958-009-9414-2}
\elib{https://elibrary.ru/item.asp?id=13606266}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-67349112789}
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  • https://www.mathnet.ru/eng/znsl/v360/p70
    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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