Absence of percolation for stopped germ grains models

Simon Le Stum
Salle
Nantes
Date et heure
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Conference - Stochastic Geometry

We will talk about the non-existence of infinite cluster in a family of random "out degree 1" graph built on a Poisson point process in $R^d$. We will present two assumptions such that, each geometric "out degree 1" graph satisfying these two rules does not admit an infinite cluster with probability one. We will focus on a "growthsegment model" defined by G. Last, wich is an example of "out degree 1" graph satisfying our two assumptions.