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Zapiski Nauchnykh Seminarov POMI, 2015, Volume 440, Pages 99–122 (Mi znsl6216)  
This article is cited in 12 scientific papers (total in 12 papers)

Dividing toric tilings and bounded remainder sets

V. G. Zhuravlev

Vladimir State University, Vladimir, Russia
Full-text PDF (264 kB) Citations (12)
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Abstract: An infinite sequence of dividing two-dimensional toric tilings is constructed by using differentiation of toric developments admitting a rearrangement. We prove that the nucleus of these tilings is a bounded remainder set.
Key words and phrases: induced tiric tilings, bounded remainder sets.
Funding agency Grant number
Russian Foundation for Basic Research 14-01-00360
Received: 14.04.2015
English version:
Journal of Mathematical Sciences (New York), 2016, Volume 217, Issue 1, Pages 65–80
DOI: https://doi.org/10.1007/s10958-016-2956-1
Bibliographic databases:
Document Type: Article
UDC: 511
Language: Russian
Citation: V. G. Zhuravlev, “Dividing toric tilings and bounded remainder sets”, Analytical theory of numbers and theory of functions. Part 30, Zap. Nauchn. Sem. POMI, 440, POMI, St. Petersburg, 2015, 99–122; J. Math. Sci. (N. Y.), 217:1 (2016), 65–80
Citation in format AMSBIB
\Bibitem{Zhu15}
\by V.~G.~Zhuravlev
\paper Dividing toric tilings and bounded remainder sets
\inbook Analytical theory of numbers and theory of functions. Part~30
\serial Zap. Nauchn. Sem. POMI
\yr 2015
\vol 440
\pages 99--122
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6216}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3504462}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2016
\vol 217
\issue 1
\pages 65--80
\crossref{https://doi.org/10.1007/s10958-016-2956-1}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84978044149}
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  • https://www.mathnet.ru/eng/znsl/v440/p99
    • This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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