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Paper from @ifisc.uib-csic.es: A 3-body collision does not imply a 3-body interaction potential. Higher Order Interactions and when hypergraphs are needed. arxiv.org/abs/2601.05169.
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We show that a general class of social impact models with higher-order interactions on hypergraphs can be exactly reduced to an equivalent model with pairwise interactions on a weighted projected netw...
arxiv.org
Reducibility of higher-order to pairwise interactions: Social impact models on hypergraphs
Maxi San Miguel