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 apply Gamma calculus to the hypoelliptic and non-symmetric setting of Langevin
dynamics under general conditions on the potential. This extension allows us to provide …

Hypocoercivity methods are applied to linear kinetic equations with mass conservation and
without confinement in order to prove that the solutions have an algebraic decay rate in the …

Convergence to equilibrium of underdamped Langevin dynamics is studied under general
assumptions on the potential U allowing for singularities. By modifying the direct approach to …

In this paper we introduce and analyse Langevin samplers that consist of perturbations of
the standard underdamped Langevin dynamics. The perturbed dynamics is such that its …

This paper provides a convergence analysis for generalized Hamiltonian Monte Carlo
samplers, a family of Markov Chain Monte Carlo methods based on leapfrog integration of …

Contraction in Wasserstein 1-distance with explicit rates is established for generalized
Hamiltonian Monte Carlo with stochastic gradients under possibly nonconvex conditions …

Adaptive Langevin dynamics is a method for sampling the Boltzmann--Gibbs distribution at
prescribed temperature in cases where the potential gradient is subject to stochastic …

We study the long time behavior of an underdamped mean-field Langevin (MFL) equation,
and provide a general convergence as well as an exponential convergence rate result …

We propose an approach to obtaining explicit estimates on the resolvent of hypocoercive
operators by using Schur complements, rather than from an exponential decay of the …