Mathematical Finance and Probability Seminars (Since covid these events are taking place online.)

Log-Sobolev inequalities for subelliptic operators satisfying a generalized curvature dimension inequality

Tuesday, February 21, 2012 at 11:00am - 12:00pm

Speaker: Fabrice Baudoin, Purdue University

Let $M$ be a smooth connected manifold endowed with a smooth measure $mu$ and a smooth locally subelliptic diffusion operator $L$ which is symmetric with respect to $mu$. We assume that $L$ satisfies a generalized curvature dimension inequality as introduced by Baudoin-Garofalo cite{BG1}. Our goal is to discuss functional inequalities for $mu$ like the Poincar'e inequality, the log-Sobolev inequality or the Gaussian logarithmic isoperimetric inequality. This is a joint work with M. Bonnefont.

Speaker: Fabrice Baudoin, Purdue University

Location   Hill 705