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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
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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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