96 citations · 249 across the 39 of their papers we have counts for
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On the diffusive-mean field limit of a kinetic weakly interacting particle system
Raphaël Gastaldello, Grigorios A. Pavliotis, Gabriel Stoltz +1
We study the joint diffusive-mean field limit for a system of weakly interacting kinetic Langevin dynamics, extending the results of Delgadino, Gvalani and Pavliotis (Arch. Ration.…
Formation of clusters and coarsening in weakly interacting diffusions
Nicolai Gerber, Rishabh S. Gvalani, Martin Hairer +2
This paper studies the clustering behavior of weakly interacting diffusions under the influence of sufficiently localized attractive interaction potentials on the one-dimensional t…
Homogenization and hypocoercivity for Fokker-Planck equations driven by weakly compressible shear flows
Michele Coti Zelati, Grigorios A. Pavliotis
We study the long-time dynamics of two-dimensional linear Fokker-Planck equations driven by a drift that can be decomposed in the sum of a large shear component and the gradient of…
A proof of the mean-field limit for -convex potentials by -Convergence
J. A. Carrillo, M. G. Delgadino, G. A. Pavliotis
In this work we give a proof of the mean-field limit for -convex potentials using a purely variational viewpoint. Our approach is based on the observation that all evolution equ…
Long-time behaviour and phase transitions for the McKean--Vlasov equation on the torus
J. A. Carrillo, R. S. Gvalani, G. A. Pavliotis +1
We study the McKean-Vlasov equation \[ \partial_t \varrho= β^{-1} Δ\varrho + κ\nabla \cdot (\varrho \nabla (W \star \varrho)) \, , \] with periodic boundary conditions on the torus…
Mean field limits for non-Markovian interacting particles: convergence to equilibrium, GENERIC formalism, asymptotic limits and phase transitions
M. H. Duong, G. A. Pavliotis
In this paper, we study the mean field limit of interacting particles with memory that are governed by a system of interacting non-Markovian Langevin equations. Under the assumptio…