论文标题
在一类多边形最佳运输问题中，$ c $ c $循环的单调性
Sufficiency of $c$-cyclical monotonicity in a class of multimarginal optimal transport problems
论文作者
论文摘要
$ C $周期单调性是最佳运输计划的最重要的最佳条件。尽管必要性的证明相对容易，但充分证明通常更加困难甚至难以捉摸。我们在这里提出了一种新的方法，我们展示了该新框架中如何得出已知结果，以及这种方法如何在以前无法治疗的情况下证明足够的能力。
$c$-cyclical monotonicity is the most important optimality condition for an optimal transport plan. While the proof of necessity is relatively easy, the proof of sufficiency is often more difficult or even elusive. We present here a new approach and we show how known results are derived in this new framework and how this approach allows to prove sufficiency in situations previously not treatable.
