On barycenters of probability measures

Abstract : A characterization of the barycenters of Radon probability measures supported on a closed convex subset of a given space is presented. The case of particular interest is studied, in which the underlying space is itself a space of finite signed Radon measures on a metric compact, and the corresponding support is the convex set of probability measures. For locally compact spaces, a simple characterization in terms of the relative interior is found.
Complete list of metadatas

https://hal.archives-ouvertes.fr/hal-02438945
Contributor : Sergey Berezin <>
Submitted on : Tuesday, January 14, 2020 - 2:03:13 PM
Last modification on : Thursday, January 23, 2020 - 6:22:13 PM

Links full text

Identifiers

  • HAL Id : hal-02438945, version 1
  • ARXIV : 1911.07680

Collections

Citation

Sergey Berezin, Azat Miftakhov. On barycenters of probability measures. 2020. ⟨hal-02438945⟩

Share

Metrics

Record views

12