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math.AP2022★ 1 cited
Vlasov Equations on Directed Hypergraph Measures
Christian Kuehn, Chuang Xu
In this paper we propose a framework to investigate the mean field limit (MFL) of interacting particle systems on directed hypergraphs. We provide a non-trivial measure-theoretic v…
math.DS2022★ 3 cited
Mean field limits of co-evolutionary signed heterogeneous networks
Marios Antonios Gkogkas, Christian Kuehn, Chuang Xu
Many science phenomena are modelled as interacting particle systems (IPS) coupled on static networks. In reality, network connections are far more dynamic. Connections among indivi…