Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Erd\"os-R\'enyi phase transition in the Axelrod model on complete graphs   The Axelrod model has been widely studied since its proposal for social
influence and cultural dissemination. In particular, the community of
statistical physics focused on the presence of a phase transition as a function
of its two main parameters, $F$ and $Q$. In this work, we show that the Axelrod
model undergoes a second order phase transition in the limit of $F \rightarrow
\infty $ on a complete graph. This transition is equivalent to the
Erd\"os-R\'enyi phase transition in random networks when it is described in
terms of the probability of interaction at the initial state, which depends on
a scaling relation between $F$ and $Q$. We also found that this probability
plays a key role in sparse topologies by collapsing the transition curves for
different values of the parameter $F$.

1
The categories of this paper are: cs
16
The categories of this paper are: stat
14
The categories of this paper are: math-ph
24
The categories of this paper are: dg-ga
36
The categories of this paper are: cmp-lg
9
The categories of this paper are: nlin
20
The categories of this paper are: acc-phys
4
The categories of this paper are: cond-mat
31
The categories of this paper are: ao-sci
18
The categories of this paper are: econ
22
The categories of this paper are: chao-dyn
33
The categories of this paper are: plasm-ph
17
The categories of this paper are: q-fin
26
The categories of this paper are: bayes-an
2
The categories of this paper are: math
12
The categories of this paper are: nucl-th