Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Large deviations and rain showers   Rainfall from ice-free cumulus clouds requires collisions of large numbers of
microscopic droplets to create every raindrop. The onset of rain showers can be
surprisingly rapid, much faster than the mean time required for a single
collision. Large-deviation theory is used to explain this observation.

2
The categories of this paper are: math
31
The categories of this paper are: ao-sci
0
The categories of this paper are: hep-ph
25
The categories of this paper are: patt-sol
10
The categories of this paper are: q-bio
36
The categories of this paper are: cmp-lg
14
The categories of this paper are: math-ph
12
The categories of this paper are: nucl-th
20
The categories of this paper are: acc-phys
5
The categories of this paper are: gr-qc
37
The categories of this paper are: supr-con
27
The categories of this paper are: comp-gas
18
The categories of this paper are: econ
13
The categories of this paper are: quant-ph
1
The categories of this paper are: cs
34
The categories of this paper are: chem-ph