The physics of higher-order interactions in complex systems
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.
- Publication:
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Nature Physics
- Pub Date:
- October 2021
- DOI:
- 10.1038/s41567-021-01371-4
- arXiv:
- arXiv:2110.06023
- Bibcode:
- 2021NatPh..17.1093B
- Keywords:
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- Physics - Physics and Society;
- Condensed Matter - Disordered Systems and Neural Networks;
- Computer Science - Social and Information Networks;
- Nonlinear Sciences - Adaptation and Self-Organizing Systems;
- Quantitative Biology - Neurons and Cognition
- E-Print:
- pre-peer-reviewed version of the Nature Physics perspective, 7 pages, 4 figures