42 citations · 63 across the 9 of their papers we have counts for
Showing 2015Show all
3 papers · 1 filter
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.OA2015★ 1 cited
-Wasserstein distances on state and quasi-state spaces of -algebras
Danila Zaev
We construct an analogue of the classical -Wasserstein distance for the state space of a -algebra. Given an abstract Lipschitz gauge on a -algebra in t…
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…