Stochastic Analysis on Riemannian foliations
Fabrice Baudoin (Purdue University)
Thursday, October 1, 2015
We develop a Malliavin calculus on the horizontal path space over a foliated Riemannian manifold. This calculus is used to prove logarithmic Sobolev inequalities under curvature conditions and concentration inequalities for the horizontal Brownian motion of the foliation.