By Feng-Yu Wang

Stochastic research on Riemannian manifolds with no boundary has been good validated. although, the research for reflecting diffusion tactics and sub-elliptic diffusion tactics is much from entire. This booklet comprises contemporary advances during this path besides new rules 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 present monographs even within the case with out boundary.

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