Social Contagion on Higher-Order Structures

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