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Izvestiya: Mathematics, 2015, Volume 79, Issue 5, Pages 919–954
DOI: https://doi.org/10.1070/IM2015v079n05ABEH002767 (Mi im8003) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Multi-colour dynamical tilings of tori into bounded remainder sets

V. G. Zhuravlev

Vladimir State University
English version PDF (580 kB) Citations (3) Russian version article
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DOI: https://doi.org/10.1070/IM2015v079n05ABEH002767
Abstract: We use tilings of multi-dimensional tori to construct bounded remainder sets that are finite unions of convex polyhedra. For the deviations of the distribution of points in the orbits with respect to translations of the torus over these sets, we prove a multi-dimensional version of Hecke's theorem on the distribution of fractional parts on a circle.
Keywords: multi-dimensional Hecke theorem, bounded remainder sets, polyhedra.
Funding agency Grant number
Russian Science Foundation 14-11-00433
This investigation was done with the support of the Russian Scientific Foundation (project no. 14-11-00433).
Received: 04.06.2012
Revised: 06.03.2015
Bibliographic databases:
Document Type: Article
UDC: 511
MSC: 37B50, 11J71, 52C22
Language: English
Original paper language: Russian
Citation: V. G. Zhuravlev, “Multi-colour dynamical tilings of tori into bounded remainder sets”, Izv. Math., 79:5 (2015), 919–954
Citation in format AMSBIB
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\paper Multi-colour dynamical tilings of tori into bounded remainder sets
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\yr 2015
\vol 79
\issue 5
\pages 919--954
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  • https://doi.org/10.1070/IM2015v079n05ABEH002767
  • https://www.mathnet.ru/eng/im/v79/i5/p65
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
     
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