38 citations · 62 across the 4 of their papers we have counts for
4 papers
On the distribution of the free path length of the linear flow in a honeycomb
Florin P. Boca, Radu N. Gologan
Let be an integer. For each $\eps >0$ remove from the union of discs of radius $\eps$ centered at the integer lattice points , with $m\nequiv n\mod{\ell}…
On the index of Farey sequences
F. P. Boca, R. N. Gologan, A. Zaharescu
We prove some asymptotic formulae concerning the distribution of the index of Farey fractions of order Q as .
The statistics of the trajectory in a certain billiard in a flat two-torus
Florin P. Boca, Radu N. Gologan, Alexandru Zaharescu
We consider a billiard in the punctured torus obtained by removing a small disk from the two-dimensional flat torus, with trajectory starting from the center of the puncture. In th…
The average length of a trajectory in a certain billiard in a flat two-torus
Florin P. Boca, Radu N. Gologan, Alexandru Zaharescu
We remove a small disc from the flat two-dimensional torus and consider a point-like particle that starts moving from the center of the disc with linear trajectory. We provide asym…