Special Session 172: Stochastic and geometric analysis on manifolds and metric measure spaces
Large deviations for small noise hypoelliptic diffusion bridges on sub-Riemannian manifolds
Yuzuru Inahama
Kyushu University Japan
Co-Author(s):
Abstract:
In this talk we discuss 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.