Key points are not available for this paper at this time.
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 /3 as 0. This answers a question of Benjamini and Schramm.
Hansen et al. (Wed,) studied this question.