Barycenters for the Hellinger--Kantorovich distance over ${\mathbb{R}}^d$

Gero Friesecke, Daniel Matthes, Bernhard Schmitzer

We study the barycenter of the Hellinger--Kantorovich metric over non-negative measures on compact, convex subsets of ${\mathbb{R}}^d$. The article establishes existence, uniqueness…