延期 发表于 2025-3-23 12:43:54
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Monge-Kantorovich Distance,This Chapter begins with the notion of disintegration of measures and states the disintegration theorem fully proved later in Chap. .. The Monge-Kantorovich or Wasserstein distance is introduced and its properties proved using disintegration.记忆法 发表于 2025-3-24 03:00:21
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Kantorovich Dual Problem,The dual Kantorovich problem is introduced and it is proved, under aproppiate assumptions on the cost function, that this problem is equivalent to the Kantorovich and the Monge problems introduced in Chap. .. It is also proved the invertibility of optimal maps for the Monge problem.平息 发表于 2025-3-24 13:08:00
Cyclical Monotonicity,In this chapter the notion of cyclical monotonicity of multi-valued maps is analyzed.analogous 发表于 2025-3-24 15:02:09
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,Brenier’s Polar Factorization Theorem,A detailed proof of Brenier’s theorem is given.bibliophile 发表于 2025-3-24 23:45:34
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