Mean Field Limit and Propagation of Chaos for Vlasov Systems with Bounded Forces

Understand

We consider large systems of particles interacting through rough but bounded interaction kernels.

• We are able to control the relative entropy between the $N$-particle distribution and the expected limit which solves the corresponding Vlasov system.
• This implies the Mean Field limit to the Vlasov system together with Propagation of Chaos through the strong convergence of all the marginals.
• The method works at the level of the Liouville equation and relies on precise combinatorics results.