108 citations · 307 across the 89 of their papers we have counts for
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math.NT2001★ 38 cited
The statistics of the trajectory in a certain billiard in a flat two-torus
Florin P. Boca, Radu N. Gologan, Alexandru Zaharescu
We consider a billiard in the punctured torus obtained by removing a small disk from the two-dimensional flat torus, with trajectory starting from the center of the puncture. In th…
math.NT2001★ 21 cited
The average length of a trajectory in a certain billiard in a flat two-torus
Florin P. Boca, Radu N. Gologan, Alexandru Zaharescu
We remove a small disc from the flat two-dimensional torus and consider a point-like particle that starts moving from the center of the disc with linear trajectory. We provide asym…