We provide a theory of manifold‐valued rough paths of bounded 3> p 3>p‐variation, which
we do not assume to be geometric. Rough paths are defined in charts, relying on the vector …

We show well-posedness for the parabolic Anderson model on 2-dimensional closed
Riemannian manifolds. To this end we extend the notion of regularity structures to curved …

Smooth manifolds are not the suitable context for trying to generalize the concept of rough
paths on a manifold. Indeed, when one is working with smooth maps instead of Lipschitz …

Chernoff approximations of Feller semigroups and the associated diffusion processes in
Riemannian manifolds are studied. The manifolds are assumed to be of bounded geometry …

In this paper we consider rough differential equations on a smooth manifold $\left (M\right). $
The main result of this paper gives sufficient conditions on the driving vector-fields so that …