120 citations · 388 across the 34 of their papers we have counts for
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math.PR2010★ 13 cited
Strict inequalities of critical values in continuum percolation
Massimo Franceschetti, Mathew D. Penrose, Tom Rosoman
We consider the supercritical finite-range random connection model where the points of a homogeneous planar Poisson process are connected with probability for a gi…
math.PR2010★ 4 cited
Strict inequalities of critical probabilities on Gilbert's continuum percolation graph
Massimo Franceschetti, Mathew D. Penrose, Tom Rosoman
Any infinite graph has site and bond percolation critical probabilities satisfying . The strict version of this inequality holds for many, but not all, i…