TY  - BOOK
AU  - Wang,Feng-Yu
TI  - Analysis for diffusion processes on Riemannian manifolds
T2  - Advanced series on statistical science & applied probability
SN  - 9789814452649 (cloth)
U1  - 516.373 23
PY  - 2014///
CY  - Singapore
PB  - World Scientific
KW  - Riemannian manifolds
KW  - Diffusion processes
N1  - Includes bibliographical references (pages 365-375) and index; 1. Preliminaries -- 
2. Diffusion processes on Riemannian manifolds without boundary -- 
3. Reflecting diffusion processes on manifolds with boundary -- 4. Stochastic analysis on path space over manifolds with boundary -- 
5. Subelliptic diffusion processes--

Bibliography--
Index
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
ER  -