4 problems

Baudoin–Tardif conjecture. The optimal convergence rate in this estimate converges to $\eta_1$ as $\gamma\to\infty$. The rate supplied by the existing exponential-convergence resul…

Let $P_{\gamma}=-\gamma X+\frac{1}{2}\gamma^2\Delta_{\mathbb{S}}$ be the generator of the rescaled kinetic Brownian motion on the unit sphere bundle $S\mathbb{M}$ over a compact Ri…

Let $({\mathbb M},g)$ be a compact Riemannian manifold, let $S{\mathbb M}$ be its unit sphere bundle, and let $P_{\gamma}=\gamma\widetilde P_{\gamma}$ be the generator of the resca…

Let $\mathbb{M}$ be a negatively curved manifold, let $P_\varepsilon$ be the kinetic Brownian motion operator on $S^*\mathbb{M}$, and let $\nu_\varepsilon>0$ denote the optimal exp…