On the Distribution of Free Path Lengths for the Periodic Lorentz Gas Iii
نویسندگان
چکیده
For r ∈ (0, 1), let Z r = {x ∈ R 2 | dist(x, Z 2) > r/2} and τ r (x, v) = inf{t > 0 | x + tv ∈ ∂Z r }. Let Φ r (t) be the probability that τ r (x, v) ≥ t for x and v uniformly distributed in Z r and S 1 respectively. We prove in this paper that lim sup ǫ→0 +
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