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

Fingerprint

Coverage
Rate Function
Random Noise
Radius
Cover
Zero
Model

Cite this

Shcherbakov, V., & Molchanov, I. (2003). Coverage of the whole space. Advances in Applied Probability, 35, 898--912.

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

In: Advances in Applied Probability, Vol. 35, 12.2003, p. 898--912.

Research output: Contribution to journalArticle

Shcherbakov, V & Molchanov, I 2003, 'Coverage of the whole space', Advances in Applied Probability, vol. 35, pp. 898--912.
Shcherbakov V, Molchanov I. Coverage of the whole space. Advances in Applied Probability. 2003 Dec;35:898--912.
Shcherbakov, V ; Molchanov, I. / Coverage of the whole space. In: Advances in Applied Probability. 2003 ; Vol. 35. pp. 898--912.
@article{e2f929e45df84a29ba96561c1d1b2c2e,
title = "Coverage of the whole space",
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.",
author = "V Shcherbakov and I Molchanov",
year = "2003",
month = "12",
language = "English",
volume = "35",
pages = "898----912",
journal = "Advances in Applied Probability",
issn = "0001-8678",
publisher = "University of Sheffield",

}

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 -