Higher-order networks
Complex networks have been successfully used to study a large variety of phenomena, including the synchronization of oscillators, the emergence of patterns in nature, and the spreading of social contagions and epidemics.
However, a pairwise description of these processes can be too limiting, as various systems in physics, biology, social sciences are characterized by many-body interactions, that can deeply influence the behavior of these systems. To capture the impact of higher-order interactions we need to go beyond complex networks and deal with more complex mathematical structures, such as hypergraphs and simplicial complexes.
The goal of the project is thus to understand how higher-order interactions affect the emergent collective behavior of complex systems.