Let be $\Re _{1}\left( a,b,c;\alpha \right) $ a regular lattice with the fundamental cell as in fig. 1. In this paper we compute the probability that a random segment of constant leght $l$ intersects a side of the lattice. In particular when the fundamental cell becomes a rectangle we obtain the Laplace probability.
A Laplace type problem for a regular lattice with six obstacles
CARISTI, Giuseppe;BARILLA, DAVID;PUGLISI, ALFIO
2011-01-01
Abstract
Let be $\Re _{1}\left( a,b,c;\alpha \right) $ a regular lattice with the fundamental cell as in fig. 1. In this paper we compute the probability that a random segment of constant leght $l$ intersects a side of the lattice. In particular when the fundamental cell becomes a rectangle we obtain the Laplace probability.File in questo prodotto:
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