The physics of higher-order interactions in complex systems

Federico Battiston; Enrico Amico; Alain Barrat; Ginestra Bianconi; Guilherme Ferraz de Arruda; Benedetta Franceschiello; Iacopo Iacopini; Sonia Kéfi; Vito Latora; Yamir Moreno; Micah M. Murray; Tiago P. Peixoto; Francesco Vaccarino; Giovanni Petri

doi:10.1038/s41567-021-01371-4

The physics of higher-order interactions in complex systems

Federico Battiston^*, Enrico Amico, Alain Barrat, Ginestra Bianconi, Guilherme Ferraz de Arruda, Benedetta Franceschiello, Iacopo Iacopini, Sonia Kéfi, Vito Latora, Yamir Moreno, Micah M. Murray, Tiago P. Peixoto, Francesco Vaccarino, Giovanni Petri^*

^*Corresponding author for this work

Mathematics

Research output: Contribution to journal › Review article › peer-review

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 behaviours induced by higher-order interactions, and we outline three key challenges for the physics of higher-order systems.

Original language	English
Pages (from-to)	1093-1098
Number of pages	6
Journal	Nature Physics
Volume	17
Issue number	10
DOIs	https://doi.org/10.1038/s41567-021-01371-4
Publication status	Published - 4 Oct 2021

Bibliographical note

Publisher Copyright:
© 2021, Springer Nature Limited.

ASJC Scopus subject areas

General Physics and Astronomy

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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 behaviours induced by higher-order interactions, and we outline three key challenges for the physics of higher-order systems.",

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AU - Battiston, Federico

AU - Amico, Enrico

AU - Barrat, Alain

AU - Bianconi, Ginestra

AU - Ferraz de Arruda, Guilherme

AU - Franceschiello, Benedetta

AU - Iacopini, Iacopo

AU - Kéfi, Sonia

AU - Latora, Vito

AU - Moreno, Yamir

AU - Murray, Micah M.

AU - Peixoto, Tiago P.

AU - Vaccarino, Francesco

AU - Petri, Giovanni

PY - 2021/10/4

Y1 - 2021/10/4

N2 - 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 behaviours induced by higher-order interactions, and we outline three key challenges for the physics of higher-order systems.

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JO - Nature Physics

JF - Nature Physics

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The physics of higher-order interactions in complex systems

Abstract

Bibliographical note

ASJC Scopus subject areas

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