Matematicheskie Zametki
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Mat. Zametki:
Year:
Volume:
Issue:
Page:
Find




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

Matematicheskie Zametki, 2015, Volume 98, Issue 6, Pages 878–897
DOI: https://doi.org/10.4213/mzm10620 (Mi mzm10620) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Exchanged Toric Tilings, Rauzy Substitution, and Bounded Remainder Sets

D. V. Kuznetsova, A. V. Shutov

Vladimir State University
Full-text PDF (693 kB) Citations (6)
References:
PDF
HTML
DOI: https://doi.org/10.4213/mzm10620
Abstract: This paper is devoted to the two-dimensional problem of the distribution of the fractional parts of a linear function. A new class of tilings of the two-dimensional torus into bounded remainder sets with an effective estimate of the remainder is introduced. It is shown that examples of the tilings under consideration can be obtained by using the geometric version of the Rauzy substitution.
Keywords: exchanged toric tiling, Rauzy substitution, bounded remainder set, distribution of the fractional parts of a linear function, fractal set, Rauzy fractal, Rauzy tiling, tribonacci sequence.
Funding agency Grant number
Russian Foundation for Basic Research 14-01-00360-а
12-01-33080-мол_а_вед
Received: 18.05.2015
English version:
Mathematical Notes, 2015, Volume 98, Issue 6, Pages 932–948
DOI: https://doi.org/10.1134/S0001434615110267
Bibliographic databases:
Document Type: Article
UDC: 511.43
Language: Russian
Citation: D. V. Kuznetsova, A. V. Shutov, “Exchanged Toric Tilings, Rauzy Substitution, and Bounded Remainder Sets”, Mat. Zametki, 98:6 (2015), 878–897; Math. Notes, 98:6 (2015), 932–948
Citation in format AMSBIB
\Bibitem{KuzShu15}
\by D.~V.~Kuznetsova, A.~V.~Shutov
\paper Exchanged Toric Tilings, Rauzy Substitution, and Bounded Remainder Sets
\jour Mat. Zametki
\yr 2015
\vol 98
\issue 6
\pages 878--897
\mathnet{http://mi.mathnet.ru/mzm10620}
\crossref{https://doi.org/10.4213/mzm10620}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3438544}
\elib{https://elibrary.ru/item.asp?id=24850262}
\transl
\jour Math. Notes
\yr 2015
\vol 98
\issue 6
\pages 932--948
\crossref{https://doi.org/10.1134/S0001434615110267}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000369701000026}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84953280694}
Linking options:
  • https://www.mathnet.ru/eng/mzm10620
  • https://doi.org/10.4213/mzm10620
  • https://www.mathnet.ru/eng/mzm/v98/i6/p878
    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
    Statistics & downloads:
    Abstract page:318
    Full-text PDF :122
    References:28
    First page:13
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024