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math.PR2018
Size of a minimal cutset in supercritical first passage percolation
Barbara Dembin, Marie Théret
We consider the standard model of i.i.d. first passage percolation on Z^d given a distribution G on [0, +] (including +). We suppose that G({0}) > 1 -- p\_c(d), i.e…
math.PR2018
Equivalence of some subcritical properties in continuum percolation
Jean-Baptiste Gouéré, Marie Théret
We consider the Boolean model on . We prove some equivalences between subcritical percolation properties. Let us introduce some notations to state one of these equivalences.…