Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Dynamic Process Interpretation of the Sparse ERGM Reference Model   Exponential family random graph models (ERGMs) can be understood in terms of
a set of structural biases that act on an underlying reference distribution.
This distribution determines many aspects of the behavior and interpretation of
the ERGM families incorporating it. One important innovation in this area has
been the development of an ERGM reference model that produces realistic
behavior when generalized to sparse networks of varying size. Here, we show
that this model can be derived from a latent dynamic process in which tie
formation takes place within small local settings between which individuals
move. This derivation provides one possible micro-process interpretation of the
sparse ERGM reference model, and sheds light on the conditions under which
constant mean degree scaling can emerge.

22
The categories of this paper are: chao-dyn
10
The categories of this paper are: q-bio
15
The categories of this paper are: nucl-ex
5
The categories of this paper are: gr-qc
27
The categories of this paper are: comp-gas
8
The categories of this paper are: hep-ex
7
The categories of this paper are: hep-th
9
The categories of this paper are: nlin
29
The categories of this paper are: funct-an
4
The categories of this paper are: cond-mat
11
The categories of this paper are: hep-lat
37
The categories of this paper are: supr-con
24
The categories of this paper are: dg-ga
14
The categories of this paper are: math-ph
30
The categories of this paper are: q-alg
3
The categories of this paper are: physics