title: Lorentz process with shrinking holes in a wall.
abstract: 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.
authors: Department of Stochastics, Mathematical Institute, Budapest University of Technology and Economics, Egry J. u. 1, Budapest 1111, Hungary. nandori@math.bme.hu
authors: Péter
authors: P
authors: Nándori
authors: Domokos
authors: D
authors: Szász