Hengrong Du

Sharp hypocoercive convergence estimates for underdamped Langevin dynamics with specular reflection

We study the underdamped (kinetic) Langevin dynamics confined to a bounded convex domain $\Omega\subset\mathbb{R}^d$ by specular reflection of the velocity at the boundary. This process is the natural momentum-based analogue of the normally reflected overdamped Langevin diffusion, and it is used in practice for constra...