The paper establishes sharp relative entropy estimates for marginals of non-exchangeable interacting particle systems by linking a BBGKY hierarchy to first-passage percolation.
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The mean field limit of co-evolutionary signed heterogeneous Kuramoto networks exists and is given by a generalized Vlasov equation on signed graph measures.
The paper proves existence of relaxed equilibria for non-exchangeable mean field games with moderate interactions and common noise, and shows asymptotic equivalence between finite-player approximate Nash equilibria and the mean field limit.
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Quantitative propagation of chaos for non-exchangeable diffusions via first-passage percolation
The paper establishes sharp relative entropy estimates for marginals of non-exchangeable interacting particle systems by linking a BBGKY hierarchy to first-passage percolation.
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Mean field limits of co-evolutionary signed heterogeneous networks
The mean field limit of co-evolutionary signed heterogeneous Kuramoto networks exists and is given by a generalized Vlasov equation on signed graph measures.
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Non--exchangeable mean field games with moderate interactions and common noise
The paper proves existence of relaxed equilibria for non-exchangeable mean field games with moderate interactions and common noise, and shows asymptotic equivalence between finite-player approximate Nash equilibria and the mean field limit.