Molchanov, Ilya; Scherbakov, Vadim (2003). Coverage of the whole space. Advances in applied probability, 35(4), pp. 898-912. Applied Probability Trust 10.1239/aap/1067436326
Full text not available from this repository. (Request a copy)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.
Item Type: |
Journal Article (Original Article) |
|---|---|
Division/Institute: |
08 Faculty of Science > Department of Mathematics and Statistics > Institute of Mathematical Statistics and Actuarial Science |
UniBE Contributor: |
Molchanov, Ilya |
Subjects: |
500 Science > 510 Mathematics |
ISSN: |
0001-8678 |
Publisher: |
Applied Probability Trust |
Language: |
English |
Submitter: |
Ilya Molchanov |
Date Deposited: |
08 Aug 2016 16:01 |
Last Modified: |
05 Dec 2022 14:57 |
Publisher DOI: |
10.1239/aap/1067436326 |
URI: |
https://boris.unibe.ch/id/eprint/85360 |
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