3 papers
math.AP2025
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…
physics.soc-ph2025
Polyadic Opinion Formation: The Adaptive Voter Model on a Hypergraph
Anastasia Golovin, Jan Mölter, Christian Kuehn
The adaptive voter model is widely used to model opinion dynamics in social complex networks. However, existing adaptive voter models are limited to only pairwise interactions and…
math.DS2025
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…