@article{a8c3535e6200473a87b75f16531debb4,
title = "The critical probability for Voronoi percolation in the hyperbolic plane tends to 1/2",
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 tends to 1/2 as the intensity of the Poisson process tends to infinity. This confirms a conjecture of Benjamini and Schramm [5].",
keywords = "hyperbolic plane, percolation, voronoi tessellation",
author = "Hansen, {Benjamin T.} and Tobias M{\"u}ller",
note = "Funding Information: We thank the anonymous referees for their useful comments. The first author was supported by the Netherlands Organisation for Scientific Research (NWO) under project nos 639.032.529 and the second author was supported in part by the Netherlands Organisation for Scientific Research (NWO) under project nos 639.032.529 and 612.001.409. Publisher Copyright: {\textcopyright} 2021 The Authors. Random Structures & Algorithms published by Wiley Periodicals LLC.",
year = "2022",
month = jan,
doi = "10.1002/rsa.21018",
language = "English",
volume = "60",
pages = "54--67",
journal = "Random Structures and Algorithms",
issn = "1042-9832",
publisher = "Wiley",
number = "1",
}