ON THE DISTRIBUTION OF THE FREE PATH LENGTH OF THE LINEAR FLOW IN A HONEYCOMB by Florin P

@inproceedings{Boca2008ONTD,
title={ON THE DISTRIBUTION OF THE FREE PATH LENGTH OF THE LINEAR FLOW IN A HONEYCOMB by Florin P},
author={Florin Boca and Radu Gologan},
year={2008}
}

— Consider the region obtained by removing from R2 the discs of radius ε, centered at the points of integer coordinates (a, b) with b 6≡ a (mod `). We are interested in the distribution of the free path length (exit time) τ`,ε(ω) of a point particle, moving from (0, 0) along a linear trajectory of direction ω, as ε → 0+. For every integer number ` > 2, we prove the weak convergence of the probability measures associated with the random variables ετ`,ε, explicitly computing the limiting… CONTINUE READING