Hypoelliptic

An entropy approach to hypoelliptic ABP

The strategy used in the kinetic case also applies to other hypoelliptic settings, such as the Heisenberg group, two-step Carnot groups, and planar Grushin vector fields. These extensions require new ideas.

The AI-assisted expositions below describe the Heisenberg and Carnot-group settings. We are also working to extend the approach to more general Hörmander vector fields.