Displacement convexity of Entropy and the distance cost Optimal Transportation

Author:

Cavalletti Fabio,Gigli Nicola,Santarcangelo Flavia

Publisher

Cellule MathDoc/CEDRAM

Reference16 articles.

1. [1] Akdemir, A.; Cavalletti, Fabio; Colinet, A.; McCann, R.; Santarcangelo, Flavia Independence of synthetic Curvature Dimension conditions on transport distance exponent (to appear in Trans. Amer. Math. Soc.)

2. On the extremality, uniqueness and optimality of transference plans;['Bianchini, Stefano', 'Caravenna, Laura'];Bull. Inst. Math., Acad. Sin.,2009

3. The Monge problem for distance cost in geodesic spaces;['Bianchini, Stefano', 'Cavalletti, Fabio'];Commun. Math. Phys.,2013

4. Monge problem in metric measure spaces with Riemannian curvature-dimension condition;['Cavalletti, Fabio'];Nonlinear Anal., Theory Methods Appl.,2014

5. [5] Cavalletti, Fabio; Milman, Emanuel The Globalization Theorem for the Curvature Dimension Condition (2016) (https://arxiv.org/abs/1612.07623, to appear in Invent. Math.)

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