We study the exponential convergence to the stationary state for nonequilibrium Langevin
dynamics, by a perturbative approach based on hypocoercive techniques developed for …

The celebrated Sutherland-Einstein relation for systems at thermal equilibrium states that
spread of trajectories of Brownian particles is an increasing function of temperature. Here …

We prove the consistency of Galerkin methods to solve Poisson equations where the
differential operator under consideration is hypocoercive. We show in particular how the …

Multistability is one of the most important phenomena in dynamical systems, eg, bistability
enables the implementation of logic gates and therefore computation. Recently multistability …

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, eg, the …

The weak-noise limit of dissipative dynamical systems is often the most fascinating one. In
such a case fluctuations can interact with a rich complexity, frequently hidden in …

We consider Langevin dynamics associated with a modified kinetic energy vanishing for
small momenta. This allows us to freeze slow particles, and hence avoid the re-computation …

In electronic packaging industry, it has been reported that compared with nano silver and
nano copper, the complementation and coordination of Ag and Cu components enable …

Multistability, ie, the coexistence of several attractors for a given set of system parameters, is
one of the most important phenomena occurring in dynamical systems. We consider it in the …

A probabilistic approach to compute the geometric convergence rate of a stochastic process
is introduced in this paper. The goal is to quantitatively compute both the upper and lower …