Geodesic
A Laplace type problem for three lattices with non-convex cell
Caristi, Giuseppe1 ; Pettineo, Maria2 ; Stoka, Marius3
1 Department S. E. A. M., University of Messina, via dei Verdi, 75 98122, Messina, Italy
2 Department of Mathematics and Informatics, University of Palermo, Via Archirafi, 34 90123 Palermo, Italy
3 Sciences Accademy of Turin, Via Maria Vittoria, 3, 10123 Torino, Italy
Journal of nonlinear sciences and its applications, Tome 9 (2016) no. 1, p. 75-82.

Voir la notice de l'article provenant de la source International Scientific Research Publications

In this paper we consider three lattices with cells represented in Fig. 1, 3 and 5 and we determine the probability that a random segment of constant length intersects a side of lattice.
DOI : 10.22436/jnsa.009.01.07
Classification : 60D05, 52A22
Keywords: Geometric probability, stochastic geometry, random sets, random convex sets and integral geometry.

Caristi, Giuseppe 1 ; Pettineo, Maria 2 ; Stoka, Marius 3

1 Department S. E. A. M., University of Messina, via dei Verdi, 75 98122, Messina, Italy
2 Department of Mathematics and Informatics, University of Palermo, Via Archirafi, 34 90123 Palermo, Italy
3 Sciences Accademy of Turin, Via Maria Vittoria, 3, 10123 Torino, Italy 
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Caristi, Giuseppe; Pettineo, Maria; Stoka, Marius. A Laplace type problem for three lattices with non-convex cell. Journal of nonlinear sciences and its applications, Tome 9 (2016) no. 1, p. 75-82. doi : 10.22436/jnsa.009.01.07. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.009.01.07/

[1] Poincaré, H. Calcul des probabilités, ed.2, Gauthier Villars, Paris, 1912

[2] M. Stoka Probabilités géométriques de type Buffon dans le plan euclidien, Atti Acc. Sci. torino, Volume 110 (1975-1976), pp. 53-59 | Zbl

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