Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The random connection model and functions of edge-marked Poisson
  processes: second order properties and normal approximation   The random connection model is a random graph whose vertices are given by the
points of a Poisson process and whose edges are obtained by randomly connecting
pairs of Poisson points in a position dependent but independent way. We study
first and second order properties of the numbers of components isomorphic to
given finite connected graphs. For increasing observation windows in an
Euclidean setting we prove qualitative multivariate and quantitative univariate
central limit theorems for these component counts as well as a qualitative
central limit theorem for the total number of finite components. To this end we
first derive general results for functions of edge marked Poisson processes,
which we believe to be of independent interest.

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The categories of this paper are: q-bio
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The categories of this paper are: quant-ph
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The categories of this paper are: patt-sol
6
The categories of this paper are: astro-ph
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The categories of this paper are: econ
11
The categories of this paper are: hep-lat
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The categories of this paper are: stat
12
The categories of this paper are: nucl-th
4
The categories of this paper are: cond-mat
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The categories of this paper are: adap-org
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The categories of this paper are: gr-qc
29
The categories of this paper are: funct-an
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The categories of this paper are: atom-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: hep-ex
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The categories of this paper are: supr-con