In some previous papers [1], [2], [3], [4], [5], [6], [7], [8], [9] and [10] the authors studies same Laplace problems with different fundamental cells. In this paper we consider a lattice with fundamental cell represented in fig. 1 and we compute the probability that a segment of random position and constant length intersects a side of lattice. Then we prove that there are values for parameters that determine the fundamental cell for which the probability determined is maximum.
A Buffon-Laplace type problems for an irregular lattice and with maximum probability
BARILLA, DAVID;CARISTI, Giuseppe;PUGLISI, ALFIO
2014-01-01
Abstract
In some previous papers [1], [2], [3], [4], [5], [6], [7], [8], [9] and [10] the authors studies same Laplace problems with different fundamental cells. In this paper we consider a lattice with fundamental cell represented in fig. 1 and we compute the probability that a segment of random position and constant length intersects a side of lattice. Then we prove that there are values for parameters that determine the fundamental cell for which the probability determined is maximum.File in questo prodotto:
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