Large Deviations for Small Noise Hypoelliptic Diffusion Bridges on Sub-Riemannian Manifolds
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.
Authors
- Yuzuru Inahama (ORCID: https://orcid.org/0000-0003-4407-459X)
Institutions
- Kyushu University (JP)
Publication Details
- Journal
- Publications of the Research Institute for Mathematical Sciences
- Published
- 2024-10-02
- DOI
- https://doi.org/10.4171/prims/60-1-4
- Citations
- 1
- Primary Topic
- Geometric Analysis and Curvature Flows
- Type
- article
- Field-Weighted Citation Impact
- 0.97
Funders
- Japan Society for the Promotion of Science