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On the first return times for toric rotations. (Russian. English summary) Zbl 1425.37008
Summary: Some examples of domains such that the first return time function for the two-dimensional torus shift has at most three values are constructed. Some applications to bounded remainder sets problem are obtained.

##### MSC:
 37A50 Dynamical systems and their relations with probability theory and stochastic processes
##### Keywords:
bounded remainder sets; first return time
Full Text:
##### References:
 [1] Floreik K., “Une remarque sur la repartition des nombres $$m\xi \mod 1$$”, Coll. Math. Wroclaw, 2 (1951), 323-324
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