For infinite-horizon Lorentz gas and stadium channel, the spreading density is a Lambert-corrected Gaussian core with power-law corridor tails; the renewal Lévy walk works for the Lorentz gas but not for the stadium channel.
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Infinite horizon billiards: Transport at the border between Gauss and L\'evy universality classes
For infinite-horizon Lorentz gas and stadium channel, the spreading density is a Lambert-corrected Gaussian core with power-law corridor tails; the renewal Lévy walk works for the Lorentz gas but not for the stadium channel.