Xiaoyue Li

Exponential Contraction for Underdamped Langevin Diffusions with Superlinear Forces

Underdamped Langevin diffusions model kinetic sampling and thermally driven inertial dynamics, but quantitative convergence is difficult when degenerate noise is coupled with a nonconvex superlinear force. We prove unit-prefactor exponential contraction in an explicit weighted Kantorovich cost under radial confinement,...