# Differentiable approximations to Brownian motion on manifolds

@inproceedings{Dowell1980DifferentiableAT, title={Differentiable approximations to Brownian motion on manifolds}, author={Richard Malcolm Dowell}, year={1980} }

The main part of this thesis is devoted to generalised
Ornstein-Uhlenbeck processes. We show how to construct such
processes on 2-uniformly smooth Banach spaces. We give two
methods of constructing Ornstein-Uhlenbeck type processes
on manifolds with sufficient structure, including on finite
dimensional Riemannian manifold where we actually construct
a process on the orthonormal bundle 0(M) and project down to
M to obtain the required process. We show that in the
simplest case on a… CONTINUE READING

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