Self-intersections of trajectories of Lorentz process
Dynamical Systems
2013-04-04 v1
Abstract
We study the asymptotic behaviour of the number of self-intersections of a trajectory of a periodic planar Lorentz process with strictly convex obstacles and finite horizon. We give precise estimates for its expectation and its variance. As a consequence, we establish the almost sure convergence of the self-intersections with a suitable normalization.
Cite
@article{arxiv.1304.0884,
title = {Self-intersections of trajectories of Lorentz process},
author = {Francoise Pene},
journal= {arXiv preprint arXiv:1304.0884},
year = {2013}
}
Comments
20 pages