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.
| Original language | English |
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| Pages (from-to) | 898--912 |
| Number of pages | 15 |
| Journal | Advances in Applied Probability |
| Volume | 35 |
| Publication status | Published - Dec 2003 |