Stochastic analysis on loop space over Riemannian manifolds
2012-06-05 14:30 2012-06-05 15:30 2012-06-05 14:30 .. 15:30
Xin Chen (GFMUL, Universidade de Lisboa)
In this talk, an introduction about stochastic analysis on loop space over Riemannian manifolds will be given. The topics include the definition of the Bismut tangent space, the construction of quasi-invariance flow, integration by parts formula and Bismut derivation formula, functional inequalities for O-U Dirichlet form and the analysis of free loop space. In particular, we will compare these properties with those of the Riemannian path space over manifolds.