Partial covering of a sphere with random number of spherical caps
Gronek, Tomasz ; Schmeidel, Ewa
Tatra Mountains Mathematical Publications, Tome 55 (2013), / Harvested from Mathematical Institute
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In this paper we study sphere coverage issue. A sphere of radius one in an $3$-dimensional Euclidean space is given. We consider random location of \textit{N} spherical caps on a sphere, assuming that $N$ is a discrete stochastic variable with a Poisson distribution. Using suitable difference equation, the expected area of the covered region is investigated.

Publié le : 2013-01-01
DOI : https://doi.org/10.2478/tatra.v54i0.209 
@article{209,
     title = {Partial covering of a sphere with random number of spherical caps},
     journal = {Tatra Mountains Mathematical Publications},
     volume = {55},
     year = {2013},
     doi = {10.2478/tatra.v54i0.209},
     language = {EN},
     url = {http://dml.mathdoc.fr/item/209}
}

Gronek, Tomasz; Schmeidel, Ewa. Partial covering of a sphere with random number of spherical caps. Tatra Mountains Mathematical Publications, Tome 55 (2013) . doi : 10.2478/tatra.v54i0.209. http://gdmltest.u-ga.fr/item/209/