COVERAGE OF THE WHOLE SPACE.

Autor: Molchanov, Ilya, Vadim Scherbakov, Ilya
Předmět:
Zdroj: Advances in Applied Probability; Dec2003, Vol. 35 Issue 4, p898-912, 15p
Abstrakt: 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. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index