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math.AP2024
The Lake equation as a supercritical mean-field limit
Matthew Rosenzweig, Sylvia Serfaty
We study so-called supercritical mean-field limits of systems of trapped particles moving according to Newton's second law with either Coulomb/super-Coulomb or regular interactions…
math.AP2024
Relative entropy and modulated free energy without confinement via self-similar transformation
Matthew Rosenzweig, Sylvia Serfaty
This note extends the modulated entropy and free energy methods for proving mean-field limits/propagation of chaos to the whole space without any confining potential, in contrast t…
math.AP2023★ 1 cited
Sharp uniform-in-time mean-field convergence for singular periodic Riesz flows
Antonin Chodron de Courcel, Matthew Rosenzweig, Sylvia Serfaty
We consider conservative and gradient flows for -particle Riesz energies with mean-field scaling on the torus , for , and with thermal noise of McKean-Vla…