TY - BOOK AU - Wang,Feng-Yu TI - Analysis for diffusion processes on Riemannian manifolds T2 - Advanced series on statistical science & applied probability, SN - 9789814452649 U1 - 514.12 PY - 2014/// CY - Hackensack, N.J. PB - World Scientific Pub. Co. KW - Riemannian manifolds KW - Diffusion processes KW - Differential equations, Parabolic KW - Geometry KW - Mathematical Analysis N1 - Includes bibliographical references (pages 365-375) and index; Graduate students, researchers and professionals in probability theory, differential geometry and partial differential equations N2 - Stochastic analysis on Riemannian manifolds without boundary has been well established. However, the analysis for reflecting diffusion processes and sub-elliptic diffusion processes is far from complete. This book contains recent advances in this direction along with new ideas and efficient arguments, which are crucial for further developments. Many results contained here (for example, the formula of the curvature using derivatives of the semigroup) are new among existing monographs even in the case without boundary UR - https://www.worldscientific.com/doi/reader/10.1142/9789814452656_fmatter UR - https://www.goodreads.com/book/show/17368105-analysis-for-diffusion-processes-on-riemannian-manifolds?ac=1&from_search=true&qid=gpU9Y6NRb2&rank=1#CommunityReviews ER -