| Abstract: |
| In this talk, we first review recent progress in stochastic analysis on Rieamnian path space. We prove an integration by parts formula on path space over a general non-compact Riemannian manifold with a skew symmetric torsion. Using this formula, we derive quasi regular O-U/$L^2$ Dirichelt forms as well as corresponding functional inequalities. This is joint work with Tianyu Wang. |
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