Geodesic
On the first return times for toric rotations
Čebyševskij sbornik, Tome 14 (2013) no. 4, pp. 127-130

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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. 
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     author = {D. V. Kuznetsova and A. V. Shutov},
     title = {On the first return times for toric rotations},
     journal = {\v{C}eby\v{s}evskij sbornik},
     pages = {127--130},
     publisher = {mathdoc},
     volume = {14},
     number = {4},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/CHEB_2013_14_4_a8/}
}
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D. V. Kuznetsova; A. V. Shutov. On the first return times for toric rotations. Čebyševskij sbornik, Tome 14 (2013) no. 4, pp. 127-130. http://geodesic.mathdoc.fr/item/CHEB_2013_14_4_a8/