13 citations · 14 across the 5 of their papers we have counts for
9 papers
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.…
Mathematical analysis and numerical methods for the computation of transport coefficients in molecular dynamics
Noe Blassel, Louis Carillo, Shiva Darshan +7
We review various numerical approaches to compute transport coefficients in molecular dynamics. These approaches can be broadly classified into three groups: (i) nonequilibrium met…
A Spectral Approach to Optimal Control of the Fokker-Planck Equation
Dante Kalise, Lucas M. Moschen, Grigorios A. Pavliotis +1
In this paper, we present a spectral optimal control framework for Fokker-Planck equations based on the standard ground state transformation that maps the Fokker-Planck operator to…
Neural network approaches for variance reduction in fluctuation formulas
Grigorios Pavliotis, Renato Spacek, Gabriel Stoltz +1
We propose a method utilizing physics-informed neural networks (PINNs) to solve Poisson equations that serve as control variates in the computation of transport coefficients via fl…
Sharp Propagation of Chaos for the Ensemble Langevin Sampler
U Vaes
The aim of this note is to revisit propagation of chaos for a Langevin-type interacting particle system used for sampling probability measures. The interacting particle system we c…
Optimal importance sampling for overdamped Langevin dynamics
M. Chak, T. Lelièvre, G. Stoltz +1
Calculating averages with respect to multimodal probability distributions is often necessary in applications. Markov chain Monte Carlo (MCMC) methods to this end, which are based o…
Mobility estimation for Langevin dynamics using control variates
G. A. Pavliotis, G. Stoltz, U. Vaes
The scaling of the mobility of two-dimensional Langevin dynamics in a periodic potential as the friction vanishes is not well understood for non-separable potentials. Theoretical r…
Scaling limits for the generalized Langevin equation
G. A. Pavliotis, G. Stoltz, U. Vaes
In this paper, we study the diffusive limit of solutions to the generalized Langevin equation (GLE) in a periodic potential. Under the assumption of quasi-Markovianity, we obtain s…
Spectral methods for multiscale stochastic differential equations
A. Abdulle, G. A. Pavliotis, U. Vaes
This paper presents a new method for the solution of multiscale stochastic differential equations at the diffusive time scale. In contrast to averaging-based methods, e.g., the het…