A sharp hypocoercive entropy decay estimate for underdamped Langevin dynamics

Jianfeng Lu

We study the underdamped Langevin dynamics with invariant measure $\mu (\mathrm{d}x\mathrm{d}v)\propto {\mathrm{e}}^{-U(x)-|v{|}^2/2}\mathrm{d}x\mathrm{d}v$. Assume tha…