In a previous paper [1] the authors compute the probability that a random rectangle r of constant sides l, m intersects a side of the lattice with the foundamental cell is a rectangle with sides a, b and with six obstacles. In this paper we consider the same foundamental cell but with eight obstacles. In particular when the rectangle r becomes a segment of length l, (m = 0) we obtain the Laplace probability.
Laplace problems for regular lattices with eight obstacles
BARILLA, DAVID;PUGLISI, ALFIO
2012-01-01
Abstract
In a previous paper [1] the authors compute the probability that a random rectangle r of constant sides l, m intersects a side of the lattice with the foundamental cell is a rectangle with sides a, b and with six obstacles. In this paper we consider the same foundamental cell but with eight obstacles. In particular when the rectangle r becomes a segment of length l, (m = 0) we obtain the Laplace probability.File in questo prodotto:
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