2 papers
math.OC2016
A class of multi-marginal c-cyclically monotone sets with explicit c-splitting potentials
Sedi Bartz, Heinz H. Bauschke, Xianfu Wang
Multi-marginal optimal transport plans are concentrated on c-splitting sets. It is known that, similar to the two-marginal case, c-splitting sets are c-cyclically monotone. Within…
math.FA2014
Optimal pricing for optimal transport
Sedi Bartz, Simeon Reich
Suppose that is the cost of transporting a unit of mass from to and suppose that a mass distribution on is transported optimally (so that the tot…