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Article Dans Une Revue The Annals of Applied Probability Année : 2019

Propagation of chaos for topological interactions

P Degond
M Pulvirenti
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Résumé

We consider a N-particle model describing an alignment mechanism due to a topolog-ical interaction among the agents. We show that the kinetic equation, expected to hold in the mean-field limit N → ∞, as following from the previous analysis in Ref. [2] can be rigorously derived. This means that the statistical independence (propagation of chaos) is indeed recovered in the limit, provided it is assumed at time zero.
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hal-02499483 , version 1 (05-03-2020)

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P Degond, M Pulvirenti. Propagation of chaos for topological interactions. The Annals of Applied Probability, 2019. ⟨hal-02499483⟩
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