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physics.soc-ph2025
Loops, not groups: Long cycles are responsible for discontinuous phase transitions in higher-order network contagions
Leah A. Keating, Laurent Hébert-Dufresne
We study a self-consistent approach to introduce higher-order effects in a branching process model of complex contagion on clustered networks. Branching processes operate over an i…
physics.soc-ph2025
An Approximate-Master-Equation Formulation of the Watts Threshold Model on Hypergraphs
Leah A. Keating, Kwang-Il Goh, Mason A. Porter
In traditional models of behavioral and opinion dynamics on networks, researchers suppose that interactions occur between pairs of individuals. However, in reality, social interact…