Poisson-Voronoi percolation in the hyperbolic plane with small intensities
Abstract
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 existence of an infinite cluster is asymptotically equal to π λ/3 as λ0. This answers a question of Benjamini and Schramm.
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