Infection patterns in simple and complex contagion processes on networks

DA Contreras, G Cencetti, A Barrat - PLOS Computational Biology, 2024 - journals.plos.org
Contagion processes, representing the spread of infectious diseases, information, or social
behaviors, are often schematized as taking place on networks, which encode for instance …

Accuracy of the Graphon Mean Field Approximation for Interacting Particle Systems

S Allmeier, N Gast - arXiv preprint arXiv:2405.08623, 2024 - arxiv.org
We consider a system of $ N $ particles whose interactions are characterized by a
(weighted) graph $ G^ N $. Each particle is a node of the graph with an internal state. The …