Geometric analysis, at its core, integrates methods from differential geometry and partial differential equations to study the properties of spaces endowed with a notion of distance. Metric spaces, ...

Geometric analysis of nonlocal interactions and phase patterns investigates the mathematical and physical principles underlying systems in which influences extend beyond immediate contact. This ...

Some statistical analysis methods use the information of the curvature of a manifold or a polyhedral complex on which data are distributed. Such geometric objects, called data spaces play a role to ...