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- M. Boshernitzan, Máté Wierdl
- Proceedings of the National Academy of Sciences…
- 1996

Let a(x) be a real function with a regular growth as x --> infinity. [The precise technical assumption is that a(x) belongs to a Hardy field.] We establish sufficient growth conditions on a(x) so that the sequence ([a(n)])(infinity)(n=1) is a good averaging sequence in L2 for the pointwise ergodic theorem. A sequence (an) of positive integers is a good… (More)

- M. Boshernitzan, Aviezri S. Fraenkel
- J. Algorithms
- 1984

- M. Boshernitzan, Aviezri S. Fraenkel
- Discrete Mathematics
- 1981

- M. Boshernitzan
- 1994

A billiard ball, i.e. a point mass, moves inside a polygon Q with unit speed along a straight line until it reaches the boundary ∂Q of the polygon, then instantaneously changes direction according to the mirror law: “the angle of incidence is equal to the angle of reflection,” and continues along the new line (Fig. 1(a)). Despite the simplicity of this… (More)

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