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Chebyshevskii Sbornik, 2013, Volume 14, Issue 1, Pages 9–17 (Mi cheb254)  
This article is cited in 2 scientific papers (total in 2 papers)

Optimization of boundaries of remains for bounded remainder sets on two-dimensional torus

A. A. Abrosimova, D. A. Blinov, T. V. Polyakova

Vladimir State University
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Abstract: We consider two-dimensional bounded remainder sets, which are constructed by a hexagonal developmant of the torus. Also, we find optimization of boundaries for these sets.
Keywords: bounded remainder sets, distribution of fractional parts, toric development, exchanged domains, three-dimensional metric.
Received: 11.03.2013
Document Type: Article
UDC: 511.2
Language: Russian
Citation: A. A. Abrosimova, D. A. Blinov, T. V. Polyakova, “Optimization of boundaries of remains for bounded remainder sets on two-dimensional torus”, Chebyshevskii Sb., 14:1 (2013), 9–17
Citation in format AMSBIB
\Bibitem{AbrBliPol13}
\by A.~A.~Abrosimova, D.~A.~Blinov, T.~V.~Polyakova
\paper Optimization of boundaries of remains for bounded remainder sets on two-dimensional torus
\jour Chebyshevskii Sb.
\yr 2013
\vol 14
\issue 1
\pages 9--17
\mathnet{http://mi.mathnet.ru/cheb254}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Full-text PDF :89
    References:61
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