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math.MG2026
Disintegrated optimal transport for metric fiber bundles
Jun Kitagawa, Asuka Takatsu
We define a new two-parameter family of metrics on subsets of Borel probability measures on general metric fiber bundles, called the $ \textit{disintegrated Monge--Kantorovich metr…
math.MG2026
Barycenters in Disintegrated optimal transport
Jun Kitagawa, Asuka Takatsu
We prove existence and duality on a wide class of metric spaces, and uniqueness results on any connected, complete Riemannian manifold, with or without boundary, for classical Mong…