English

Quasi-invariant measures on the path space of a diffusion

Probability 2007-05-23 v1 Differential Geometry

Abstract

The author has previously constructed a class of admissible vector fields on the path space of an elliptic diffusion process xx taking values in a closed compact manifold. In this Note the existence of flows for this class of vector fields is established and it is shown that the law of xx is quasi-invariant under these flows.

Keywords

Cite

@article{arxiv.math/0606365,
  title  = {Quasi-invariant measures on the path space of a diffusion},
  author = {Denis Bell},
  journal= {arXiv preprint arXiv:math/0606365},
  year   = {2007}
}
R2 v1 2026-07-22T17:37:28.414Z