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Chebyshevskii Sb., 2013, Volume 14, Issue 4, Pages 127–130 (Mi cheb309)  

This article is cited in 1 scientific paper (total in 1 paper)

On the first return times for toric rotations

D. V. Kuznetsova, A. V. Shutov

Vladimir State University

Abstract: Some examples of domains such that first return time function for two-dimensional torus shift has at most three values are constructed. Some applications to bounded remainder sets problem are obtained.

Keywords: bounded remainder sets, first return time.

Full text: PDF file (227 kB)
References: PDF file   HTML file
UDC: 511.3
Received: 14.09.2013

Citation: D. V. Kuznetsova, A. V. Shutov, “On the first return times for toric rotations”, Chebyshevskii Sb., 14:4 (2013), 127–130

Citation in format AMSBIB
\Bibitem{KuzShu13}
\by D.~V.~Kuznetsova, A.~V.~Shutov
\paper On the first return times for toric rotations
\jour Chebyshevskii Sb.
\yr 2013
\vol 14
\issue 4
\pages 127--130
\mathnet{http://mi.mathnet.ru/cheb309}


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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. D. V. Kuznetsova, A. V. Shutov, “Exchanged Toric Tilings, Rauzy Substitution, and Bounded Remainder Sets”, Math. Notes, 98:6 (2015), 932–948  mathnet  crossref  crossref  mathscinet  isi  elib
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