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math.CA2017★ 8 cited
Geodesic of minimal length in the set of probability measures on graphs
Wilfrid Gangbo, Wuchen Li, Chenchen Mou
We endow the set of probability measures on a weighted graph with a Monge--Kantorovich metric, induced by a function defined on the set of vertices. The graph is assumed to have $n…
math.CA2003
Constrained deepest descent in the 2-Wasserstein metric
E. A. Carlen, W. Gangbo
We study several constrained variational problem in the 2-Wasserstein metric for which the set of probability densities satisfying the constraint is not closed. For example, given…