Delone lattices have assumed a role of primary importance for studies of pure and applied mathematics. In some previous paper [1] [2] [3] [5] we showed some properties of stochastic geometry and geometric probabili- ties for some lattices Delone. In this paper we consider a Delone lattice with the cell represented in the figure 1 and we compute the probability that a segment of random position and costant length intersects a side of the lattice. The results can be used for the applications in economy and transport engineering.
A Laplace type problem for Delone Sessadecagonal lattice with obstacles
CARISTI, Giuseppe
;
2012-01-01
Abstract
Delone lattices have assumed a role of primary importance for studies of pure and applied mathematics. In some previous paper [1] [2] [3] [5] we showed some properties of stochastic geometry and geometric probabili- ties for some lattices Delone. In this paper we consider a Delone lattice with the cell represented in the figure 1 and we compute the probability that a segment of random position and costant length intersects a side of the lattice. The results can be used for the applications in economy and transport engineering.File in questo prodotto:
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