Langevin-type dynamics and hypocoercivity on $\mathrm{SE}(3)$

Martin Grothaus, Andrea V. Hurtado-Quiceno

We construct hypocoercive Kolmogorov-type operators on the Euclidean motion group $\mathrm{SE}(3)={\mathbb{R}}^3⋊\mathrm{SO}(3)$ using ZXZ Euler angles and study their long-tim…