Stochastic Differential Geometry at Saint-Flour

"Stochastic Differential Geometry at Saint-Flour" is a comprehensive textbook that addresses the mathematical foundations of stochastic differential geometry. It brings together the expertise of several renowned authors, including Hiroshi Kunita, K. David Elworthy, and Alano Ancona, who illuminate various aspects of stochastic differential equations and their geometric applications on manifolds. The book offers an in-depth analysis of stochastic flows of diffeomorphisms and the geometric aspects of diffusions on manifolds. Additionally, it covers the theoretical foundations of potential theory on graphs and varieties, making it a valuable resource for students and professionals in the fields of mathematics and natural sciences. With 507 pages, it provides a thorough and detailed exploration of the topics essential for understanding stochastic processes in differential geometry.