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arXiv · 1911.07680

On barycenters of probability measures

Sergey Berezin·Azat Miftakhov
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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.

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Sergey Berezin, Azat Miftakhov. 2020-04-20. On barycenters of probability measures. https://doi.org/10.4064/ba191128-31-3

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