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Continuum percolation in the Gabriel graph

Published online by Cambridge University Press:  01 July 2016

Etienne Bertin*
Affiliation:
Université Pierre Mendès France
Jean-Michel Billiot*
Affiliation:
Université Pierre Mendès France
Rémy Drouilhet*
Affiliation:
Université Pierre Mendès France
*
Postal address: Labsad, BSHM, Université Pierre Mendès France, 1251 avenue centrale, BP 47, 38040 Grenoble Cedex 9, France.
Postal address: Labsad, BSHM, Université Pierre Mendès France, 1251 avenue centrale, BP 47, 38040 Grenoble Cedex 9, France.
Postal address: Labsad, BSHM, Université Pierre Mendès France, 1251 avenue centrale, BP 47, 38040 Grenoble Cedex 9, France.

Abstract

In the present study, we establish the existence of site percolation in the Gabriel graph for Poisson and hard-core stationary point processes.

Type
Stochastic Geometry and Statistical Applications
Copyright
Copyright © Applied Probability Trust 2002 

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