Blar i Department of Mathematics på forfatter "Thalmaier, Anton"
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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 ...