Global-in-time mean-field convergence for singular Riesz-type diffusive flows
We consider the mean-field limit of systems of particles with singular interactions of the type−
log| x| or| x|− s, with 0< s< d− 2, and with an additive noise in dimensions d≥ 3. We use a …
log| x| or| x|− s, with 0< s< d− 2, and with an additive noise in dimensions d≥ 3. We use a …
Phase transitions, logarithmic Sobolev inequalities, and uniform-in-time propagation of chaos for weakly interacting diffusions
In this article, we study the mean field limit of weakly interacting diffusions for confining and
interaction potentials that are not necessarily convex. We explore the relationship between …
interaction potentials that are not necessarily convex. We explore the relationship between …
LDP and CLT for SPDEs with transport noise
L Galeati, D Luo - Stochastics and Partial Differential Equations: Analysis …, 2024 - Springer
In this work we consider solutions to stochastic partial differential equations with transport
noise, which are known to converge, in a suitable scaling limit, to solution of the …
noise, which are known to converge, in a suitable scaling limit, to solution of the …
Quantitative propagation of chaos for 2d viscous vortex model on the whole space
We derive the quantitative estimates of propagation of chaos for the large interacting particle
systems in terms of the relative entropy between the joint law of the particles and the …
systems in terms of the relative entropy between the joint law of the particles and the …
An additive-noise approximation to Keller–Segel–Dean–Kawasaki dynamics: local well-posedness of paracontrolled solutions
A Martini, A Mayorcas - … and Partial Differential Equations: Analysis and …, 2025 - Springer
Using the method of paracontrolled distributions, we show the local well-posedness of an
additive-noise approximation to the fluctuating hydrodynamics of the Keller–Segel model on …
additive-noise approximation to the fluctuating hydrodynamics of the Keller–Segel model on …
Relative entropy and modulated free energy without confinement via self-similar transformation
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 …
Fluctuations around the mean-field limit for attractive Riesz potentials in the moderate regime
A central limit theorem is shown for moderately interacting particles in the whole space. The
interaction potential approximates singular attractive or repulsive potentials of sub-Coulomb …
interaction potential approximates singular attractive or repulsive potentials of sub-Coulomb …
An Additive-Noise Approximation to Keller-Segel-Dean-Kawasaki Dynamics: Small-Noise Results
A Martini, A Mayorcas - arxiv preprint arxiv:2410.17022, 2024 - arxiv.org
We study an additive-noise approximation to Keller--Segel--Dean--Kawasaki dynamics
which is proposed as an approximate model to the fluctuating hydrodynamics of …
which is proposed as an approximate model to the fluctuating hydrodynamics of …
Gibbs equilibrium fluctuations of point vortex dynamics
We consider a system of N point vortices in a bounded domain with null total circulation,
whose statistics are given by the canonical Gibbs ensemble at inverse temperature β≥ 0 …
whose statistics are given by the canonical Gibbs ensemble at inverse temperature β≥ 0 …
A quantitative central limit theorem for the simple symmetric exclusion process
A quantitative central limit theorem for the simple symmetric exclusion process (SSEP) on a
$ d $-dimensional discrete torus is proven. The argument is based on a comparison of the …
$ d $-dimensional discrete torus is proven. The argument is based on a comparison of the …