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
-
2699
Downloads
-
4101
Views
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.
Share and Cite
ISRP Style
G. Caristi, M. Pettineo, A. Puglisi, Hitting probabilities for non-convex lattice, Journal of Nonlinear Sciences and Applications, 11 (2018), no. 4, 486--489
AMA Style
Caristi G., Pettineo M., Puglisi A., Hitting probabilities for non-convex lattice. J. Nonlinear Sci. Appl. (2018); 11(4):486--489
Chicago/Turabian Style
Caristi, G., Pettineo, M., Puglisi, A.. "Hitting probabilities for non-convex lattice." Journal of Nonlinear Sciences and Applications, 11, no. 4 (2018): 486--489
Keywords
- Geometric probability
- stochastic geometry
- random sets
- random convex sets and integral geometry
MSC
References
-
[1]
D. Barilla, G. Caristi, A. Puglisi, M. Stoka, A Laplace type problem for two hexagonal lattices of Delone with obstacles, Appl. Math. Sci., 7 (2013), 4571--4581
-
[2]
D. Barilla, G. Caristi, E. Saitta, M. Stoka, A Laplace type problem for lattice with cell composed by two quadrilaterals and one triangle, Appl. Math. Sci., 8 (2014), 789--804
-
[3]
D. Barilla, G. Caristi, A. Puglisi, M. Stoka, Laplace Type Problems for a Triangular Lattice and Different Body Test, Appl. Math. Sci., 8 (2014), 5123--5131
-
[4]
G. Caristi, A. Puglisi, E. Saitta, A Laplace type for an regular lattices with convex-concave cell and obstacles rhombus, Appl. Math. Sci., (),
-
[5]
G. Caristi, E. L. Sorte, M. Stoka, Laplace problems for regular lattices with three different types of obstacles, Appl. Math. Sci., 5 (2011), 2765--2773
-
[6]
G. Caristi, M. Stoka, A Laplace type problem for a regular lattice of Dirichlet-Voronoi with different obstacles, Appl. Math. Sci., 5 (2011), 1493--1523
-
[7]
G. Caristi, M. Stoka, A laplace type problem for lattice with axial symmetric and different obstacles type (I), Far East J. Math. Sci., 58 (2011), 99--118
-
[8]
G. Caristi, M. Stoka, A Laplace type problem for lattice with axial symmetry and different type of obstacles (II), Far East J. Math. Sci. (FJMS), 64 (2012), 281--295
-
[9]
A. Duma, M. Stoka, Problems of , Rend. Circ. Mat. Palermo (2) Suppl., 70 (2002), 237--256
-
[10]
H. Poincaré, Calcul des probabilités, Les Grands Classiques Gauthier-Villars, Paris (1912)
-
[11]
M. Stoka, Probabilités géométriques de type , Atti Accad. Sci. Torino Cl. Sci. Fis. Mat. Natur., 110 (1976), 53--59