• Functional inequalities on path space of sub-Riemannian manifolds and applications 

      Cheng, Li-Juan; Grong, Erlend; Thalmaier, Anton (Journal article; Peer reviewed, 2021)
      We consider the path space of a manifold with a measure induced by a stochastic flow with an infinitesimal generator that is hypoelliptic, but not elliptic. These generators can be seen as sub-Laplacians of a sub-Riemannian ...
    • Radial processes for sub-Riemannian Brownian motions and applications 

      Baudoin, Fabrice; Grong, Erlend; Kuwada, Kazumasa; Neel, Robert; Thalmaier, Anton (Journal article; Peer reviewed, 2020)
      We study the radial part of sub-Riemannian Brownian motion in the context of totally geodesic foliations. Itô’s formula is proved for the radial processes associated to Riemannian distances approximating the Riemannian ...