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most citedThe correlations of Farey fractions

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math.NT2003

The distribution of the free path lengths in the periodic two-dimensional Lorentz gas in the small-scatterer limit

Florin P. Boca, Alexandru Zaharescu

We study the free path length and the geometric free path length in the model of the periodic two-dimensional Lorentz gas (Sinai billiard). We give a complete and rigorous proof fo…