2 citations · 7 across the 10 of their papers we have counts for
11 papers
Singular mean-field limits via a multiscale mollification metric
Quoc Hung Nguyen, Sylvia Serfaty
We consider a general class of first order ODE systems for the evolution of interacting particles (in Euclidean space ) in a mean-field regime. The class of inter…
Another look at regularity in transport-commutator estimates
Elias Hess-Childs, Matthew Rosenzweig, Sylvia Serfaty
We are interested in how regular a transport velocity field must be in order to control Riesz-type commutators. Estimates for these commutators play a central role in the analysis…
Local Laws and Fluctuations for Super-Coulombic Riesz Gases
Luke Peilen, Sylvia Serfaty
We study the local statistical behavior of the super-Coulombic Riesz gas of particles in Euclidean space of arbitrary dimension, with inverse power distance repulsion integrable ne…
A sharp commutator estimate for all Riesz modulated energies
Elias Hess-Childs, Matthew Rosenzweig, Sylvia Serfaty
We prove a functional inequality in any dimension controlling the derivative along a transport of the Riesz modulated energy in terms of the modulated energy itself. This modulated…
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…
The attractive log gas: stability, uniqueness, and propagation of chaos
Antonin Chodron de Courcel, Matthew Rosenzweig, Sylvia Serfaty
We consider overdamped Langevin dynamics for the attractive log gas on the torus , for . In dimension , this model coincides…
Thermal approximation of the equilibrium measure and obstacle problem
Scott Armstrong, Sylvia Serfaty
We consider the probability measure minimizing a free energy functional equal to the sum of a Coulomb interaction, a confinement potential and an entropy term, which arises in the…
Energy estimates and cavity interaction for a critical-exponent cavitation model
Duvan Henao, Sylvia Serfaty
We consider the minimization of $\int_{Ω_{\ep}} |D\vec u|^p \dd\vec x$ in a perforated domain $Ω_{\ep}:= Ω\setminus \bigcup_{i=1}^M B_{\ep}(\vec a_i)$ of , among maps $\vec u…