Large deviations for small noise hypoelliptic diffusion bridges on sub-Riemannian manifolds
Probability
2021-10-01 v1 Differential Geometry
Abstract
In this paper we study a large deviation principle of Freidlin-Wentzell type for pinned hypoelliptic diffusion measures associated with a natural sub-Laplacian on a compact sub-Riemannian manifold. To prove this large deviation principle, we use rough path theory and manifold-valued Malliavin calculus.
Cite
@article{arxiv.2109.14841,
title = {Large deviations for small noise hypoelliptic diffusion bridges on sub-Riemannian manifolds},
author = {Yuzuru Inahama},
journal= {arXiv preprint arXiv:2109.14841},
year = {2021}
}
Comments
37 pages, no figure