Sampling from the mean-field stationary distribution
We study the complexity of sampling from the stationary distribution of a mean-field SDE, or
equivalently, the complexity of minimizing a functional over the space of probability …
equivalently, the complexity of minimizing a functional over the space of probability …
Lectures on Coulomb and Riesz gases
S Serfaty - arXiv preprint arXiv:2407.21194, 2024 - arxiv.org
arXiv:2407.21194v1 [math-ph] 30 Jul 2024 Page 1 Lectures on Coulomb and Riesz Gases
Sylvia Serfaty arXiv:2407.21194v1 [math-ph] 30 Jul 2024 Page 2 Page 3 Contents Preface 5 …
Sylvia Serfaty arXiv:2407.21194v1 [math-ph] 30 Jul 2024 Page 2 Page 3 Contents Preface 5 …
Sharp commutator estimates of all order for Coulomb and Riesz modulated energies
M Rosenzweig, S Serfaty - arXiv preprint arXiv:2407.15650, 2024 - arxiv.org
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 …
transport of the Coulomb or super-Coulomb Riesz modulated energy in terms of the …
Quantitative propagation of chaos for non-exchangeable diffusions via first-passage percolation
This paper develops a non-asymptotic approach to mean field approximations for systems of
$ n $ diffusive particles interacting pairwise. The interaction strengths are not identical …
$ n $ diffusive particles interacting pairwise. The interaction strengths are not identical …
The attractive log gas: stability, uniqueness, and propagation of chaos
AC de Courcel, M Rosenzweig, S Serfaty - arXiv preprint arXiv …, 2023 - arxiv.org
We consider overdamped Langevin dynamics for the attractive log gas on the torus
$\mathbb {T}^\mathsf {d} $, for $\mathsf {d}\geq 1$. In dimension $\mathsf {d}= 2$, this model …
$\mathbb {T}^\mathsf {d} $, for $\mathsf {d}\geq 1$. In dimension $\mathsf {d}= 2$, this model …
Relative entropy and modulated free energy without confinement via self-similar transformation
M Rosenzweig, S Serfaty - arXiv preprint arXiv:2402.13977, 2024 - arxiv.org
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 to …
limits/propagation of chaos to the whole space without any confining potential, in contrast to …
Sharp propagation of chaos for McKean-Vlasov equation with non constant diffusion coefficient
We present a method to obtain sharp local propagation of chaos results for a system of N
particles with a diffusion coefficient that it not constant and may depend of the empirical …
particles with a diffusion coefficient that it not constant and may depend of the empirical …
Uniform-in-time estimates on the size of chaos for interacting Brownian particles
A Bernou, M Duerinckx - arXiv preprint arXiv:2405.19306, 2024 - arxiv.org
We consider a system of classical Brownian particles interacting via a smooth long-range
potential in the mean-field regime, and we analyze the propagation of chaos in form of …
potential in the mean-field regime, and we analyze the propagation of chaos in form of …
Size of chaos for Gibbs measures of mean field interacting diffusions
We investigate Gibbs measures for diffusive particles interacting through a two-body mean
field energy. By uncovering a gradient structure for the conditional law, we derive sharp …
field energy. By uncovering a gradient structure for the conditional law, we derive sharp …
Uniform-in-Time Estimates on the Size of Chaos for Interacting Particle Systems
P Xie - arXiv preprint arXiv:2411.15406, 2024 - arxiv.org
For any weakly interacting particle system with bounded kernel, we give uniform-in-time
estimates of the $ L^ 2$ norm of correlation functions, provided that the diffusion coefficient …
estimates of the $ L^ 2$ norm of correlation functions, provided that the diffusion coefficient …