Peter Nandori, Domokos Szasz
Published 2011-11-26, updated 2012-05-03Version 2
We ascertain the diffusively scaled limit of a periodic Lorentz process in a strip with an almost reflecting wall at the origin. Here, almost reflecting means that the wall contains a small hole waning in time. The limiting process is a quasi-reflected Brownian motion, which is Markovian but not strong Markovian. Local time results for the periodic Lorentz process, having independent interest, are also found and used.
Tail asymptotics of free path lengths for the periodic Lorentz process. On Dettmann's geometric conjectures
The Sharkovsky Theorem
Central limit theorems for the $\mathbb{Z}^2$-periodic Lorentz gas
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