Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The critical probability for confetti percolation equals $1/2$   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 with probability $p$ and white with probability $1-p$.
In this paper we show that the critical probability for confetti percolation
equals $1/2$. That is, if $p>1/2$ then a.s.~there is an unbounded curve in the
plane all of whose points are black; while if $p \leq 1/2$ then a.s.~all
connected components of the set of black points are bounded. This answers a
question of Benjamini and Schramm. The proof builds on earlier work by Hirsch
and makes use of an adaptation of a sharp thresholds result of Bourgain.

13
The categories of this paper are: quant-ph
9
The categories of this paper are: nlin
14
The categories of this paper are: math-ph
25
The categories of this paper are: patt-sol
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The categories of this paper are: nucl-ex
20
The categories of this paper are: acc-phys
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The categories of this paper are: nucl-th
18
The categories of this paper are: econ
29
The categories of this paper are: funct-an
1
The categories of this paper are: cs
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The categories of this paper are: supr-con
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The categories of this paper are: solv-int
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The categories of this paper are: hep-ex
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The categories of this paper are: comp-gas
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The categories of this paper are: bayes-an
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The categories of this paper are: adap-org