Social contagion on higher-order structures

Guilherme Ferraz de Arruda , Alain Barrat (1, 2) , Guilherme Ferraz de Arruda , Iacopo Iacopini (2, 1) , Yamir Moreno

1 CPT - E5 Physique statistique et systèmes complexes
2 CPT - Centre de Physique Théorique - UMR 7332

In this Chapter, we discuss the effects of higher-order structures on SIS-like processes of social contagion. After a brief motivational introduction where we illustrate the standard SIS process on networks and the difference between simple and complex contagions, we introduce spreading processes on higher-order structures starting from the most general formulation on hypergraphs and then moving to several mean-field and heterogeneous mean-field approaches. The results highlight the rich phenomenology brought by taking into account higher-order contagion effects: both continuous and discontinuous transitions are observed, and critical mass effects emerge. We conclude with a short discussion on the theoretical results regarding the nature of the epidemic transition and the general need for data to validate these models.

Domaines: Mécanique statistique [cond-mat.stat-mech]

Guilherme Ferraz de Arruda, Alain Barrat, Guilherme Ferraz de Arruda, Iacopo Iacopini, Yamir Moreno. Social contagion on higher-order structures. Federico Battiston; Giovanni Petri. Higher-Order Systems, Springer, 2022, 978-3-030-91373-1. ⟨10.1007/978-3-030-91374-8_13⟩. ⟨hal-03161923⟩