Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A central limit theorem for the number of isolated vertices in a
  preferential attachment random graph   We study the number of isolated vertices in a preferential attachment random
graph introduced by Dereich and M\"orters in 2009. In this graph model vertices
are added over time and newly arriving vertices connect to older ones with
probability proportional to a (sub-)linear function of the indegree of the
older vertex at that time. Using Stein's method and a size-bias coupling, we
deduce bounds in the Wasserstein distance between the law of the properly
rescaled number of isolated vertices and a standard Gaussian distribution.

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The categories of this paper are: chem-ph
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The categories of this paper are: chao-dyn
13
The categories of this paper are: quant-ph
16
The categories of this paper are: stat
6
The categories of this paper are: astro-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: alg-geom
14
The categories of this paper are: math-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: q-fin
12
The categories of this paper are: nucl-th
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The categories of this paper are: nlin
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The categories of this paper are: hep-ex
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The categories of this paper are: dg-ga
5
The categories of this paper are: gr-qc