This dissertation concerns the probabilistic aspects of diffusion processes generated by a family of differential operators, which is similar to the family of hypoelliptic Laplacian operators, acting on the tangent bundle of a compact Riemannian manifold. By lifting the processes to the product of the frame bundle and the euclidean space, we show that this family of stochastic processes interpolates between Riemannian Brownian motion and the geodesic flow.

Creator

• Guo, Heng

DOI

• https://doi.org/10.21985/n2-01np-pf52

Subject

• Mathematics

Language

• en

Alternate Identifier

• http://dissertations.umi.com/northwestern:14614
• etdadmin_upload_661820

Date created

• 2019-01-01

Resource type

• Dissertation

Rights statement

• In Copyright