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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★ 2 cited
Sharp commutator estimates of all order for Coulomb and Riesz modulated energies
Matthew Rosenzweig, Sylvia Serfaty
We prove functional inequalities in any dimension controlling the iterated derivatives along a transport of the Coulomb or super-Coulomb Riesz modulated energy in terms of the modu…
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…