Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Social contagion models on hypergraphs   Our understanding of the dynamics of complex networked systems has increased
significantly in the last two decades. However, most of our knowledge is built
upon assuming pairwise relations among the system's components. This is often
an oversimplification, for instance, in social interactions that occur
frequently within groups. To overcome this limitation, here we study the
dynamics of social contagion on hypergraphs. We develop an analytical framework
and provide numerical results for arbitrary hypergraphs, which we also support
with Monte Carlo simulations. Our analyses show that the model has a vast
parameter space, with first and second-order transitions, bi-stability, and
hysteresis. Phenomenologically, we also extend the concept of latent heat to
social contexts, which might help understanding oscillatory social behaviors.
Our work unfolds the research line of higher-order models and the analytical
treatment of hypergraphs, posing new questions and paving the way for modeling
dynamical processes on these networks.

27
The categories of this paper are: comp-gas
16
The categories of this paper are: stat
22
The categories of this paper are: chao-dyn
14
The categories of this paper are: math-ph
17
The categories of this paper are: q-fin
32
The categories of this paper are: atom-ph
5
The categories of this paper are: gr-qc
1
The categories of this paper are: cs
29
The categories of this paper are: funct-an
36
The categories of this paper are: cmp-lg
19
The categories of this paper are: eess
30
The categories of this paper are: q-alg
24
The categories of this paper are: dg-ga
37
The categories of this paper are: supr-con
34
The categories of this paper are: chem-ph
12
The categories of this paper are: nucl-th