Wasserstein barycenters on metric graphs

Jérôme Bertrand; Jianyu Ma

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arXiv · 2604.17924

Wasserstein barycenters on metric graphs

Jérôme Bertrand·Jianyu Ma

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Abstract

In this paper we provide conditions for a Wasserstein barycenter to be absolutely continuous with respect to its Hausdorff measure away from the vertices of the graph. One assumption removed in v2, the result is now optimal.

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Jérôme Bertrand, Jianyu Ma. 2026-06-01. Wasserstein barycenters on metric graphs. https://arxiv.org/abs/2604.17924

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