2 papers
math.OC2025
Duality Theorems and Vector Measures in Optimal Transportation Theory
Shlomi Gover
The optimal transportation problem, first suggested by Gaspard Monge in the 18th century and later revived in the 1940s by Leonid Kantorovich, deals with the question of transporti…
math.OC2020
On semi-discrete sub-partitions of vector-valued measures
Shlomi Gover, Gershon Wolansky
We introduce a concept of optimal transport for vector-valued measures and its dual formulation. In this note we concentrate on the semi-discrete case and show some fundamental dif…