The present volume is an extensive monograph on the analytic and geometric aspects of Markov diffusion operators. It focuses on the geometric curvature properti

Stochastic differential equations, and Hoermander form representations of diffusion operators, can determine a linear connection associated to the underlying (s

This book provides the mathematical foundations for the analysis of a class of degenerate elliptic operators defined on manifolds with corners, which arise in a

This work offers a highly useful, well developed reference on Markov processes, the universal model for random processes and evolutions. The wide range of appli

This is a thorough and accessible exposition on the functional analytic approach to the problem of construction of Markov processes with Ventcel’ boundary con