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math.PR2015★ 1 cited
Exchangeable optimal transportation and log-concavity
Alexander V. Kolesnikov, Danila A. Zaev
We study the Monge and Kantorovich transportation problems on within the class of exchangeable measures. With the help of the de Finetti decomposition theorem…
math.PR2015
Decomposition of the Kantorovich problem and Wasserstein distances on simplexes
Danila Zaev
Let be a Polish space, be the set of Borel probability measures on , and be a homeomorphism. We prove that for the simplex $\mathrm{Dom} \s…