On the distribution of the free path length of the linear flow in a honeycomb

Florin P. Boca, Radu N. Gologan

Let $\ell \ge 2$ be an integer. For each $\eps >0$ remove from ${\mathbb{R}}^2$ the union of discs of radius $\eps$ centered at the integer lattice points $(m,n$, with $m\nequiv n\mod{\ell}…