• Mathematics
  • Published 1980

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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