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- W2123285244 abstract "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 for the existence of their distributions in the small-scatterer limit and explicitly compute them. As a corollary one gets a complete proof for the existence of the constant term $$c=2-3ln 2+frac{27zeta(3)}{2pi^2}$$ in the asymptotic formula $$h(T)=-2 ln epsilon +c+o(1)$$ of the KS entropy of the billiard map in this model, as conjectured by P. Dahlqvist." @default.
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- W2123285244 date "2006-11-04" @default.
- W2123285244 modified "2023-09-25" @default.
- W2123285244 title "The Distribution of the Free Path Lengths in the Periodic Two-Dimensional Lorentz Gas in the Small-Scatterer Limit" @default.
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- W2123285244 doi "https://doi.org/10.1007/s00220-006-0137-7" @default.
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