New article ideas

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The Optimal Transport Problem

• Monge Problem (for general costs); Villani (3-4, 6-9), Santambrogio (xiv-xvii,1-9)
• Kantorovich Problem (for general costs); Villani (1-3, 6-9), Santambrogio (xv-xvii,1-9)
• Discrete Optimal Transport (for general costs); Villani (5)
• Kantorovich Dual Problem (for general costs); Villani (17-21), Santambrogio (9-16)
• Kantorovich Dual Problem (for $c(x,y)=d(x,y)$ where $d$ is a metric); Villani (34)
• Kantorovich Dual Problem (for $c(x,y)=d(x,y)^{2}$ where $d$ is a metric); Santambrogio (16-18)
• Optimal Transport and the Monge Ampère equation; Santambrogio (xvi, 54-57)