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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.

37A50 Dynamical systems and their relations with probability theory and stochastic processes
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[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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