Planar Lorentz process in a random scenery
The paper deals with the periodic planar Lorentz process with convex obstacles and with finite horizon where a particle moves freely between obstacles with elastic reflection from them. The random scenery is given by iid random variables each of them associated to one obstacle. The author proves a convergence in distribution to the Wiener process of the total displacement of the particle normalized by \(\sqrt {n\log n}\) as \(n\) goes to infinity.
scientific article; zbMATH DE number 5611491