Using a Langevin field theory on networks, the authors claim pairwise mechanisms are formally equivalent to higher-order contagion, pairwise terms dominate at coarse scales, and spectral dimension controls the phase transition.
Zinn-Justin,Phase Transitions and Renormalization Group(Oxford University Press, 2007)
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Higher-order contagion processes in 3.99 dimensions
Using a Langevin field theory on networks, the authors claim pairwise mechanisms are formally equivalent to higher-order contagion, pairwise terms dominate at coarse scales, and spectral dimension controls the phase transition.