Large deviations for sub-Riemannian random walks (Jing Wang -- Purdue)

We study large deviations for sub-Riemannian random walks. In particular we work on stratified nilpotent Lie groups, for which there is a natural collection of vectors that generates its Lie algebra. We consider random walks that take steps in only these directions, and prove Cramer’s theorem for them. This is joint work with Masha Gordina and Tai Melcher.