Maria Gordina - Large deviations principle for sub-Riemannian random walks on Carnot groups
Presenter
February 11, 2022
Abstract
Recorded 11 February 2022. Maria Gordina of the University of Connecticut, Mathematics, presents "Large deviations principle for sub-Riemannian random walks on Carnot groups" at IPAM's Calculus of Variations in Probability and Geometry Workshop.
Abstract: We prove a large deviations principle with a natural rate function for sub-Riemannian random walks on homogeneous Carnot groups. These groups form a large class of sub-Riemannian manifolds. Their geometry corresponds to considering sub-Laplacians as generators for hypoelliptic Brownian motions. This is based on a joint work with Tai Melcher and Jing Wang.