Non-Markovian maximal couplings and a vertical reflection principle on a class of sub-Riemannian manifolds

Liangbing Luo, Robert W. Neel

We develop an approach to constructing non-Markovian, non-co-adapted couplings for sub-Riemannian Brownian motions in sub-Riemannian manifolds with large symmetry groups by treatin…