The objective of molecular dynamics computations is to infer macroscopic properties of
matter from atomistic models via averages with respect to probability measures dictated by …

The purpose of this book is to present various results and techniques from the theory of
stochastic processes and in particular diffusion processes that are useful in the study of …

We introduce a new probabilistic approach to quantify convergence to equilibrium for
(kinetic) Langevin processes. In contrast to previous analytic approaches that focus on the …

This memoir attempts at a systematic study of convergence to stationary state for certain
classes of degenerate diffusive equations, taking the general form ${\frac {\partial f}{\partial …

We consider the Fokker-Planck equation with a confining or anti-confining potential which
behaves at infinity like a possibly high-degree homogeneous function. Hypoellipticity …

There has recently been a renewal of interest in Fokker-Planck operators, motivated by
problems in statistical physics, in kinetic equations, and differential geometry. Compared to …

We consider numerical methods for thermodynamic sampling, ie, computing sequences of
points distributed according to the Gibbs–Boltzmann distribution, using Langevin dynamics …

We provide a refined explicit estimate of the exponential decay rate of underdamped
Langevin dynamics in the L 2 distance, based on a framework developed in Albritton et …

We consider non-reversible perturbations of reversible diffusions that do not alter the
invariant distribution and we ask whether there exists an optimal perturbation such that the …

Short and long time behavior of the Fokker–Planck equation in a confining potential and
applications Page 1 Journal of Functional Analysis 244 (2007) 95–118 www.elsevier.com/locate/jfa …