A Strong threshold for the size of random caps to cover a sphere
| dc.creator | Gupta, Bhupendra | |
| dc.date | 2008-09-06 | |
| dc.date.accessioned | 2026-07-07T10:01:16Z | |
| dc.date.available | 2026-07-07T10:01:16Z | |
| dc.description | In this article, we consider `$N$'spherical caps of area $4πp$ were uniformly distributed over the surface of a unit sphere. We are giving the strong threshold function for the size of random caps to cover the surface of a unit sphere. We have shown that for large $N,$ if $\frac{Np}{\log\:N} > 1/2$ the surface of sphere is completely covered by the $N$ caps almost surely, and if $\frac{Np}{\log\:N} \leq 1/2$ a partition of the surface of sphere is remains uncovered by the $N$ caps almost surely. | |
| dc.identifier | https://arxiv.org/abs/0809.1142 | |
| dc.identifier | http://arxiv.org/abs/0809.1142 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/168576 | |
| dc.subject | Probability | |
| dc.title | A Strong threshold for the size of random caps to cover a sphere | |
| dc.type | text |