Continuum percolation in the Gabriel graph

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

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Bibliographic Details
Published in:Advances in applied probability 2002-12, Vol.34 (4), p.689-701
Main Authors: Bertin, Etienne, Billiot, Jean-Michel, Drouilhet, Rémy
Format: Article
Language:English
Subjects:
60D05
62B05
Bernoulli process
Bond graphs
Circles
Critical values
Ergodic theory
Gabriel graph
Graphs
hard-core point process
Integers
Percolation
Phase transitions
Point estimators
Poisson point process
Probability
Simulation
Spatial points
Stochastic Geometry and Statistical Applications
Studies
Tessellations
Uniqueness
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Description
Summary:In the present study, we establish the existence of site percolation in the Gabriel graph for Poisson and hard-core stationary point processes.
ISSN:0001-8678
1475-6064
DOI:10.1239/aap/1037990948