Volume no :6, Issue no: 1, August (2011)

A LAPLACE TYPE PROBLEM FOR IRREGULAR LATTICE WITH THE CELL COMPOSED OF n TRAPEZIUMS AND 4n OBSTACLES (1, 2, 3)

Author's: G. CARISTI and MARIUS STOKA
Pages: [31] - [49]
Received Date: July 21, 2011
Submitted by:

Abstract

In this paper, we consider a lattice with the cell composed of n trapeziums and 4n obstacles (1, 2, 3), as in the Figures 1, 10, and 12, we compute the probability that a segment of random position and of constant length intersects a side of lattice. In particular, we obtain the Laplace probability.

Keywords

geometric probability, stochastic geometry, random sets, random convex sets, integral geometry.