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math.AP2015
Metric Selfduality and Monotone Vector Fields on Manifolds
Nassif Ghoussoub, Abbas Moameni
We develop a "metrically selfdual" variational calculus for -monotone vector fields between general manifolds and , where is a coupling on . Remarkably, ma…
math.OC2015★ 2 cited
Solutions to multi-marginal optimal transport problems concentrated on several graphs
Abbas Moameni, Brendan Pass
We study solutions to the multi-marginal Monge-Kantorovich problem which are concentrated on several graphs over the first marginal. We first present two general conditions on the…