By Feng-Yu Wang

Stochastic research on Riemannian manifolds with no boundary has been good demonstrated. even though, the research for reflecting diffusion strategies and sub-elliptic diffusion techniques is much from whole. This publication includes fresh advances during this course besides new principles and effective arguments, that are the most important for extra advancements. Many effects contained the following (for instance, the formulation of the curvature utilizing derivatives of the semigroup) are new between current monographs even within the case with out boundary.

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