2 citations · 7 across the 10 of their papers we have counts for
4 papers · 1 filter
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…
Lectures on Coulomb and Riesz gases
Sylvia Serfaty
This is the preliminary version of a book on Coulomb and Riesz gases that grew out of a set of notes written for graduate courses taught at the Courant Institute, at the Ecole Norm…
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…
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…