$p$-Wasserstein barycenters

Camilla Brizzi, Gero Friesecke, Tobias Ried

We study barycenters of $N$ probability measures on ${\mathbb{R}}^d$ with respect to the $p$-Wasserstein metric ($1<p<\infty$). We prove that -- $p$-Wasserstein barycenters of absolu…