Abstract Underdamped Langevin Monte Carlo (ULMC) is an algorithm used to sample from
unnormalized densities by leveraging the momentum of a particle moving in a potential well …

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 …

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 …

We study time averages for the norm of solutions to kinetic Fokker--Planck equations
associated with general Hamiltonians. We provide fully explicit and constructive decay …

Equilibrium properties in statistical physics are obtained by computing averages with respect
to Boltzmann–Gibbs measures, sampled in practice using ergodic dynamics such as the …

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 sharp …

We establish L 2-exponential convergence rate for three popular piecewise deterministic
Markov processes for sampling: the randomized Hamiltonian Monte Carlo method, the …

We study the long-time convergence behavior of underdamped Langevin dynamics, when
the spatial equilibrium satisfies a weighted Poincar\'e inequality, with a general velocity …

The scaling of the mobility of two-dimensional Langevin dynamics in a periodic potential as
the friction vanishes is not well understood for nonseparable potentials. Theoretical results …

In recent years, there has been a surge of interest in proving discretization bounds for
sampling under isoperimetry and for diffusion models. As data size grows, reducing the …