scientific article

zbMath1486.49046MaRDI QIDQ3391370

Giuseppe Savaré, Giacomo E. Sodini

Publication date: 28 March 2022

Full work available at URL: https://www.heldermann.de/JCA/JCA29/JCA291/jca29001.htm

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zbMATH Keywords

Legendre transformconvex dualityoptimal transportFenchel-Moreau theorem

Mathematics Subject Classification ID

Spaces of measures, convergence of measures (28A33) Duality theory (optimization) (49N15) Optimal transportation (49Q22)

Cites Work

• Invariance principles in probability for triangular arrays of B-valued random vectors and some applications
• Mass transportation problems. Vol. 1: Theory. Vol. 2: Applications
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• Optimal transport for applied mathematicians. Calculus of variations, PDEs, and modeling
• Optimal Transport in Competition with Reaction: The Hellinger--Kantorovich Distance and Geodesic Curves
• A saddle-point approach to the Monge-Kantorovich optimal transport problem
• Duality theorems for marginal problems
• On a class of extremal problems in statistics
• Real Analysis and Probability
• Compactness in spaces of measures
• Optimal Transport
• Characterization of optimal shapes and masses through Monge-Kantorovich equation
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