14 citations · 65 across the 24 of their papers we have counts for
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math.PR2017★ 1 cited
On the critical threshold for continuum AB percolation
David Dereudre, Mathew D. Penrose
Consider a bipartite random geometric graph on the union of two independent homogeneous Poisson point processes in -space, with distance parameter and intensities . For…
math.PR2017★ 6 cited
Phase transition for continuum Widom-Rowlinson model with random radii
David Dereudre, Pierre Houdebert
In this paper we study the phase transition of continuum Widom-Rowlinson measures in with types of particles and random radii. Each particle of type is…
math.PR2017★ 3 cited
Introduction to the theory of Gibbs point processes
David Dereudre
The Gibbs point processes (GPP) constitute a large class of point processes with interaction between the points. The interaction can be attractive, repulsive, depending on geometri…