Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The asymptotic size of the largest component in random geometric graphs
  with some applications   For the size of the largest component in a supercritical random geometric
graph, this paper estimates its expectation which tends to a polynomial on a
rate of exponential decay, and sharpens its asymptotic result with a central
limit theory. Similar results can be obtained for the size of biggest open
cluster, and for the number of open clusters of percolation on a box, and so
on.

36
The categories of this paper are: cmp-lg
12
The categories of this paper are: nucl-th
30
The categories of this paper are: q-alg
37
The categories of this paper are: supr-con
22
The categories of this paper are: chao-dyn
20
The categories of this paper are: acc-phys
9
The categories of this paper are: nlin
18
The categories of this paper are: econ
33
The categories of this paper are: plasm-ph
1
The categories of this paper are: cs
25
The categories of this paper are: patt-sol
32
The categories of this paper are: atom-ph
29
The categories of this paper are: funct-an
7
The categories of this paper are: hep-th
11
The categories of this paper are: hep-lat
15
The categories of this paper are: nucl-ex