Second order Sub-elliptic operators and its intrinsic geometry

Abstract: I shall discuss the intrinsic geometry of a family of vector fields with constant rank, and its application in understanding sub-elliptic diffusions. I intend to follow closely the book of `On the geometry of diffusion operators and stochastic flows'.

differential geometryprobability

Audience: advanced learners

( paper )

Young Researchers between Geometry and Stochastic Analysis 2021