Stochastic analysis and geometric functional inequalities

High Dimensional Seminar
Wednesday, October 9, 2019 - 3:00pm for 1 hour (actually 50 minutes)
Skiles 006
Masha Gordina – University of Connecticut – maria.gordina@uconn.edu
Galyna Livshyts

We will survey different methods of proving functional inequalities for hypoelliptic  diffusions and the corresponding heat kernels. Some of these methods rely on geometric methods such as curvature-dimension inequalities (due to Baudoin-Garofalo), and some are probabilistic  such as coupling, and finally some use structure  theory and a Fourier transform on Lie groups. This is based on joint work with M. Asaad, F. Baudoin, B. Driver, T. Melcher, Ph. Mariano et al.