Complex networks have become the main paradigm for modelling the dynamics of interacting systems. However, networks are intrinsically limited to describing pairwise interactions, whereas real-world systems are often characterized by higher-order interactions involving groups of three or more units. Higher-order structures, such as hypergraphs and simplicial complexes, are therefore a better tool to map the real organization of many social, biological and man-made systems. Here, we highlight recent evidence of collective behaviors induced by higher-order interactions, and we outline three key challenges for the physics of higher-order systems.

The physics of higher-order interactions in complex systems / Battiston, Federico; Amico, Enrico; Barrat, Alain; Bianconi, Ginestra; Ferraz de Arruda, Guilherme; Franceschiello, Benedetta; Iacopini, Iacopo; Kéfi, Sonia; Latora, Vito; Moreno, Yamir; Murray, Micah M.; Peixoto, Tiago P.; Vaccarino, Francesco; Petri, Giovanni. - In: NATURE PHYSICS. - ISSN 1745-2473. - ELETTRONICO. - 17:10(2021), pp. 1093-1098. [10.1038/s41567-021-01371-4]

The physics of higher-order interactions in complex systems

Amico, Enrico;Barrat, Alain;Vaccarino, Francesco;
2021

Abstract

Complex networks have become the main paradigm for modelling the dynamics of interacting systems. However, networks are intrinsically limited to describing pairwise interactions, whereas real-world systems are often characterized by higher-order interactions involving groups of three or more units. Higher-order structures, such as hypergraphs and simplicial complexes, are therefore a better tool to map the real organization of many social, biological and man-made systems. Here, we highlight recent evidence of collective behaviors induced by higher-order interactions, and we outline three key challenges for the physics of higher-order systems.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11583/2929574