Geometric Function Theory is a vibrant field that investigates the geometric properties of analytic functions, including univalence, starlikeness, and convexity, which are key to understanding their ...

Functional-and-Geometric-Data-Analysis Methods for analyzing functions, curves, shapes; treating data in spatial/temporal continuous spaces, multiscale geometry and topological data analysis.

The class of logconcave functions in R n is a common generalization of Gaussians and of indicator functions of convex sets. Motivated by the problem of sampling from a logconcave density function, we ...