32 citations · 60 across the 8 of their papers we have counts for
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Poisson-Voronoi percolation in the hyperbolic plane with small intensities
Benjamin T. Hansen, Tobias Müller
We consider percolation on the Voronoi tessellation generated by a homogeneous Poisson point process on the hyperbolic plane. We show that the critical probability for the existenc…
The critical probability for Voronoi percolation in the hyperbolic plane tends to
Benjamin T. Hansen, Tobias Müller
We consider percolation on the Voronoi tessellation generated by a homogeneous Poisson point process on the hyperbolic plane. We show that the critical probability for the existenc…
The critical probability for confetti percolation equals
Tobias Muller
In the confetti percolation model, or two-coloured dead leaves model, radius one disks arrive on the plane according to a space-time Poisson process. Each disk is coloured black wi…
Hamilton cycles in random geometric graphs
József Balogh, Béla Bollobás, Michael Krivelevich +2
We prove that, in the Gilbert model for a random geometric graph, almost every graph becomes Hamiltonian exactly when it first becomes 2-connected. This answers a question of Penro…