Tom Rosoman

most citedStrict inequalities of critical values in continuum percolation

13 citations · 17 across the 3 of their papers we have counts for

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math.PR2011

Percolation of even sites for random sequential adsorption

Mathew D. Penrose, Tom Rosoman

Consider random sequential adsorption on a red/blue chequerboard lattice with arrivals at rate $1$ on the red squares and rate $λ$ on the blue squares. We prove that the critical v…

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 $x, y$ of a homogeneous planar Poisson process are connected with probability $f (∣ y - x ∣)$ 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 $p_{c}^{s i t e} \geq p_{c}^{b o n d}$ . The strict version of this inequality holds for many, but not all, i…