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.
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...