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 cell represented as in figure 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 lattice and the length of segment for which the probability determined is maximum.

A Laplace type problems for a lattice with cell composed by three quadrilaterals and with maximum probability

BARILLA, DAVID;CARISTI, Giuseppe;SAITTA, ERSILIA
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 cell represented as in figure 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 lattice and the length of segment for which the probability determined is maximum.
2014
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11570/3047375
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