A functional limit theorem for the position of a particle in a Lorentz type model
Probability
2007-05-23 v1
Abstract
Consider a particle moving through a random medium, which consists of spherical obstacles, randomly distributed in R^d. The particle is accelerated by a constant external field; when colliding with an obstacle, the particle inelastically reflects. We study the asymptotics of X(t), which denotes the position of the particle at time t, as t tends to infinity. The result is a functional limit theorem for X(t).
Cite
@article{arxiv.math/0612253,
title = {A functional limit theorem for the position of a particle in a Lorentz type model},
author = {Vladislav Vysotsky},
journal= {arXiv preprint arXiv:math/0612253},
year = {2007}
}
Comments
19 pages, uses texdraw.sty