Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The critical probability for Voronoi percolation in the hyperbolic plane
  tends to $1/2$   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.

11
The categories of this paper are: hep-lat
25
The categories of this paper are: patt-sol
24
The categories of this paper are: dg-ga
16
The categories of this paper are: stat
15
The categories of this paper are: nucl-ex
8
The categories of this paper are: hep-ex
35
The categories of this paper are: mtrl-th
3
The categories of this paper are: physics
12
The categories of this paper are: nucl-th
0
The categories of this paper are: hep-ph
37
The categories of this paper are: supr-con
34
The categories of this paper are: chem-ph
30
The categories of this paper are: q-alg
21
The categories of this paper are: adap-org
13
The categories of this paper are: quant-ph
17
The categories of this paper are: q-fin