Virtual Talk: Large deviations principle for sub-Riemannian random walks on Carnot groups

Maria Gordina
University of Connecticut

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.

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