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arXiv · 2110.08099

Mean-field limit for particle systems with topological interactions

Dario Benedetto·Emanuele Caglioti·Stefano Rossi
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Abstract

The mean-field limit for systems of self-propelled agents with topological interaction cannot be obtained by means of the usual Dobrushin approach. We get a result on this direction by adapting to the multidimensional case the techniques developed by Trocheris in 1986 to treat the Vlasov-Poisson equation in one dimension.

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Dario Benedetto, Emanuele Caglioti, Stefano Rossi. 2021-10-15. Mean-field limit for particle systems with topological interactions. https://arxiv.org/abs/2110.08099

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