Recursive tree processes and the mean-field limit of stochastic flows

@article{Mach2020RecursiveTP,
  title={Recursive tree processes and the mean-field limit of stochastic flows},
  author={Tibor Mach and Anja Sturm and Jan M. Swart},
  journal={Electronic Journal of Probability},
  year={2020}
}
Interacting particle systems can often be constructed from a graphical representation, by applying local maps at the times of associated Poisson processes. This leads to a natural coupling of systems started in different initial states. We consider interacting particle systems on the complete graph in the mean-field limit, i.e., as the number of vertices tends to infinity. We are not only interested in the mean-field limit of a single process, but mainly in how several coupled processes behave… 

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