Coverage of the whole space

V Shcherbakov; I Molchanov

Coverage of the whole space

V Shcherbakov, I Molchanov

Department of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

7 Citations (SciVal)

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

Cite this

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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",

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language = "English",

volume = "35",

pages = "898----912",

journal = "Advances in Applied Probability",

publisher = "Cambridge University Press",

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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.

UR - https://www.scopus.com/pages/publications/0344082903

M3 - Article

VL - 35

SP - 898

EP - 912

JO - Advances in Applied Probability

JF - Advances in Applied Probability

ER -

Coverage of the whole space

Abstract

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