Laplace problems for regular lattices
Giuseppe Caristi · International Conference on Applied Mathematics · 2009
Let R1 (a, b, c), R2 (a, b, c) and R3 (a, b, c) be three regular lattice with the fundamental cell as in fig 1, fig 8 and fig 12. We compute the probability that a random segment of constant lenght l intersects a side of the lattice. In particular cases we obtain the Laplace probability.