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arXiv · 1304.0884

Self-intersections of trajectories of Lorentz process

Francoise Pene
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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.

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Francoise Pene. 2013-04-03. Self-intersections of trajectories of Lorentz process. https://arxiv.org/abs/1304.0884

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