论文标题
库仑成本的最佳运输的外部双重电荷方法
An external dual charge approach to the optimal transport with Coulomb cost
论文作者
论文摘要
在本文中，我们以库仑的成本研究了多边缘最佳运输，在物理文献中也称为严格相关的电子（SCE）功能。我们证明，双重kantorovich电位是由外部电荷密度引起的静电电势，我们称之为双电荷。我们研究其特性，并使用它来离散一个和三个空间维度。
In this paper, we study the multimarginal optimal transport with Coulomb cost, also known in the physics literature as the Strictly-Correlated Electrons (SCE) functional. We prove that the dual Kantorovich potential is an electrostatic potential induced by an external charge density, which we call the dual charge. We study its properties and use it to discretize the potential in one and three space dimensions.
