Optimal Transport

Results named in Tau Ceti's TauCeti.MeasureTheory.OptimalTransport modules and in no roadmap's section, as Tau Ceti has them at commit ace60277.

Approximate Kantorovich duality… to Strong Kantorovich duality for…

• Approximate Kantorovich duality on compact spaces
• The Benamou–Brenier upper bound
• Bounded-Lipschitz duality in supremum form
• Bounded-Lipschitz Kantorovich–Rubinstein duality with attainment
• Cauchy–Schwarz for the pairing
• Finite multi-marginal Kantorovich duality
• The Fréchet–Hoeffding bound on a quadrant
• The generalised Bonnet–Myers theorem under CD(K, N)
• The Gibbs identity
• Kantorovich–Rubinstein duality
• Kantorovich–Rubinstein weak duality
• Markov's inequality for the Wasserstein distance from a Dirac law
• The one-dimensional Kantorovich formula
• Polish Kantorovich duality for costs bounded below
• Pratelli's theorem
• Prokhorov's theorem for multi-couplings
• The Pythagorean identity of the Schrödinger problem
• Rockafellar's theorem
• The Schachermayer--Teichmann theorem
• Strong Kantorovich duality for probability measures

The theorem of Rockafellar and… to The twist theorem at a point

• The theorem of Rockafellar and Rüschendorf
• The twist theorem
• The twist theorem at a point

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