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math.MG2023
Extending the Wasserstein metric to positive measures
Hugo Leblanc, Thibaut Le Gouic, Jacques Liandrat +1
We define a metric in the space of positive finite positive measures that extends the 2-Wasserstein metric, i.e. its restriction to the set of probability measures is the 2-Wassers…
math.MG2019★ 1 cited
A note on flatness of non separable tangent cone
Thibaut Le Gouic
Given a probability measure P on an Alexandrov space S with curvature bounded below, we prove that the support of the pushforward of P on the tangent cone at its (exponential) bary…