Currently displaying 1 – 4 of 4

Showing per page

Order by Relevance | Title | Year of publication

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

Florin P. BocaRadu N. Gologan — 2009

Annales de l’institut Fourier

Consider the region obtained by removing from 2 the discs of radius ε , centered at the points of integer coordinates ( a , b ) with b 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 ε τ , ε , explicitly computing the limiting distribution. For = 3 , respectively = 2 , this result leads...

Page 1

Download Results (CSV)