Coverage of the whole space

V Shcherbakov, I Molchanov

Research output: Contribution to journalArticle

6 Citations (Scopus)

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 languageEnglish
Pages (from-to)898--912
Number of pages15
JournalAdvances in Applied Probability
Volume35
Publication statusPublished - Dec 2003

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