MA Gkogkas, C Kuehn - SIAM Journal on Applied Dynamical Systems, 2022 - SIAM
Originally arising in the context of interacting particle systems in statistical physics, dynamical systems and differential equations on networks/graphs have permeated into a …
C Kuehn - New Journal of Physics, 2020 - iopscience.iop.org
In this article we report on a novel way to incorporate complex network structure into the analysis of interacting particle systems. More precisely, it is well-known that in well …
F Coppini - Journal of Statistical Physics, 2022 - Springer
Fokker–Planck equations represent a suitable description of the finite-time behavior for a large class of particle systems as the size of the population tends to infinity. Recently, the …
C Kuehn, C Pulido - arXiv preprint arXiv:2403.20325, 2024 - arxiv.org
Many natural phenomena are effectively described by interacting particle systems, which can be modeled using either deterministic or stochastic differential equations (SDEs). In this …
C Kuehn, C Xu - arXiv preprint arXiv:2207.03806, 2022 - arxiv.org
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 …
A family of heterogeneous mean-field systems with jumps is analyzed. These systems are constructed as a Gibbs measure on block graphs. When the total number of particles goes to …
MA Gkogkas, C Kuehn, C Xu - arXiv preprint arXiv:2202.01742, 2022 - arxiv.org
Many science phenomena are modelled as interacting particle systems (IPS) coupled on static networks. In reality, network connections are far more dynamic. Connections among …
G Bet, F Coppini, FR Nardi - Journal of Applied Probability, 2024 - cambridge.org
We consider a class of weakly interacting particle systems of mean-field type. The interactions between the particles are encoded in a graph sequence, ie two particles are …
Z Li - arXiv preprint arXiv:2402.16295, 2024 - arxiv.org
This paper considers an $ n $-particle jump-diffusion system with mean filed interaction, where the coefficients are locally Lipschitz continuous. We address the convergence as …