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# Mathematics > Analysis of PDEs

# Title: Mean-field limit for particle systems with topological interactions

(Submitted on 15 Oct 2021 (v1), last revised 30 Nov 2021 (this version, v2))

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.

## Submission history

From: Stefano Rossi [view email]**[v1]**Fri, 15 Oct 2021 13:51:19 GMT (20kb)

**[v2]**Tue, 30 Nov 2021 16:19:26 GMT (20kb)

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