On barycenters of probability measures
Probability
2020-11-24 v2 Functional Analysis
Abstract
A characterization is presented of barycenters of the Radon probability measures supported on a closed convex subset of a given space. A case of particular interest is studied, where the underlying space is itself the space of finite signed Radon measures on a metric compact and where the corresponding support is the convex set of probability measures. For locally compact spaces, a simple characterization is obtained in terms of the relative interior.
Keywords
Cite
@article{arxiv.1911.07680,
title = {On barycenters of probability measures},
author = {Sergey Berezin and Azat Miftakhov},
journal= {arXiv preprint arXiv:1911.07680},
year = {2020}
}
Comments
9 pages. To appear in Bulletin Polish Acad. Sci. Math