Particles approximations of Vlasov equations with singular forces : Part. 2

TL;DRAbstract

We prove propagation of chaos for a system of particles interacting with a singular interaction force of the type $1/|x|^\alpha$, with $\alpha <1$ in dimension $d \geq 3$. We also recover the usual results, with sharper propagation of chaos, for forces with large enough cut-off that are valid for $\alpha < d-1$, i.e. almost up to the most interesting case of Coulombian or gravitationnal interaction.

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