Zapiski Nauchnykh Seminarov POMI
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Zap. Nauchn. Sem. POMI:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

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)
References:
PDF
HTML
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}
Linking options:
  • https://www.mathnet.ru/eng/znsl2159
  • 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
    		Записки научных семинаров ПОМИ
    Statistics & downloads:
    Abstract page:454
    Full-text PDF :120
    References:98
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024