Article contents
Coverage of the whole space
Published online by Cambridge University Press: 01 July 2016
Abstract
Consider an inhomogeneous germ-grain model with spherical grains whose radii depend on their positions through a rate function, possibly perturbed by a random noise. We find the critical rate function that separates the cases when the germ-grain model covers the whole space with a positive probability and when the total coverage occurs with probability zero.
MSC classification
- Type
- Stochastic Geometry and Statistical Applications
- Information
- Copyright
- Copyright © Applied Probability Trust 2003
References
- 5
- Cited by