### Abstract

Original language | English |
---|---|

Pages (from-to) | 898--912 |

Number of pages | 15 |

Journal | Advances in Applied Probability |

Volume | 35 |

Publication status | Published - Dec 2003 |

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### Cite this

*Advances in Applied Probability*,

*35*, 898--912.

**Coverage of the whole space.** / Shcherbakov, V; Molchanov, I.

Research output: Contribution to journal › Article

*Advances in Applied Probability*, vol. 35, pp. 898--912.

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TY - JOUR

T1 - Coverage of the whole space

AU - Shcherbakov, V

AU - Molchanov, I

PY - 2003/12

Y1 - 2003/12

N2 - 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.

AB - 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.

M3 - Article

VL - 35

SP - 898

EP - 912

JO - Advances in Applied Probability

JF - Advances in Applied Probability

SN - 0001-8678

ER -