Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Large deviation principles for empirical measures of the multitype
  random networks   In this article we study the stochastic block model also known as the
multi-type random networks (MRNs). For the stochastic block model or the MRNs
we define the empirical group measure, empirical cooperative measure and the
empirical locality measure. We derive large deviation principles for the
empirical measures in the weak topology. These results will form the basis of
understanding asymptotics of the evolutionary and co-evolutionary processes on
the stochastic block model.

18
The categories of this paper are: econ
13
The categories of this paper are: quant-ph
35
The categories of this paper are: mtrl-th
32
The categories of this paper are: atom-ph
4
The categories of this paper are: cond-mat
0
The categories of this paper are: hep-ph
9
The categories of this paper are: nlin
5
The categories of this paper are: gr-qc
11
The categories of this paper are: hep-lat
27
The categories of this paper are: comp-gas
36
The categories of this paper are: cmp-lg
34
The categories of this paper are: chem-ph
10
The categories of this paper are: q-bio
12
The categories of this paper are: nucl-th
3
The categories of this paper are: physics
7
The categories of this paper are: hep-th