Canadian Mathematical Society
Canadian Mathematical Society
  location:  Publicationsjournals
Search results

Search: MSC category 51K05 ( General theory )

  Expand all        Collapse all Results 1 - 1 of 1

1. CJM Online first

Yin, Jiang
Absolute continuity of Wasserstein barycenters over Alexandrov spaces
In this paper, we prove that, on a compact, $n$-dimensional Alexandrov space with curvature $\geqslant -1$, the Wasserstein barycenter of Borel probability measures $\mu_1,...,\mu_m$ is absolutely continuous with respect to the $n$-dimensional Hausdorff measure if one of them is.

Keywords:Alexandrov space, Wasserstein barycenter, multi-marginal optimal transport
Categories:51K05, 49K30

© Canadian Mathematical Society, 2016 :