Hitting probabilities for non-convex lattice

Volume 11, Issue 4, pp 486--489 http://dx.doi.org/10.22436/jnsa.011.04.05

Publication Date: March 16, 2018 Submission Date: August 01, 2017 Revision Date: September 29, 2017 Accteptance Date: November 21, 2017

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Authors

G. Caristi - Department of Economics, University of Messina, via dei Verdi, 75 98122, Messina, Italy. M. Pettineo - Department of Mathematics, University of Palermo, via Archirafi, 34-Palermo, Italy. A. Puglisi - Department of Economics, University of Messina, via dei Verdi, 75 98122, Messina, Italy.

Abstract

In this paper, we consider three lattices with cells represented in Figures 1, 3, and 5 and we determine the probability that a random segment of constant length intersects a side of the lattice considered.

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Keywords

• Geometric probability
• stochastic geometry
• random sets
• random convex sets and integral geometry

MSC

•  60D05
•  52A22

References

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