Planar Lorentz process in a random scenery
type: Item
instance of: scholarly article
title: Planar Lorentz process in a random scenery
zbMATH Open document ID: 1189.37045
DOI: 10.1214/08-AIHP191
author: Françoise Pène
published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques
publication date: 2009-10-08T00:00:00Z
full work available at URL: https://eudml.org/doc/78046
review text: 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.
Mathematics Subject Classification ID: 37D50
Mathematics Subject Classification ID: 60F05
zbMATH DE Number: 5611491
zbMATH Keywords: Lorentz process
zbMATH Keywords: finite horizon
zbMATH Keywords: random scenery
zbMATH Keywords: limit theorem
zbMATH Keywords: billiard
zbMATH Keywords: infinite measure
reviewed by: Yuri Kifer
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 5611491