New article ideas

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Below, you can find a list of new article ideas and suggested references.

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The Optimal Transport Problem

  • Monge Problem (for general costs); Villani (p3-4, 6-9)
  • Kantorovich Problem (for general costs); Villani (p1-3, 6-9)
  • Discrete Optimal Transport (for general costs); Villani (p5)
  • Kantorovich Dual Problem (for general costs); Villani (p17-21)
  • Kantorovich Dual Problem (for where is a metric)
  • Optimal Transport and the Monge Ampère equation