Blaschke-Santalo inequality for many functions and geodesic barycenters of measures. (arXiv:2010.00135v1 [math.FA])

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4 years ago

Blaschke-Santalo inequality for many functions and geodesic barycenters of measures. (arXiv:2010.00135v1 [math.FA])

Alexander V. Kolesnikov, Elisabeth M. Werner

Motivated by the geodesic barycenter problem from optimal transportation theory, we prove a natural generalization of the Blaschke-Santalo inequality for many sets and many functions. We derive from it an entropy bound for the total Kantorovich cost appearing in the barycenter problem.

Publisher URL: http://arxiv.org/abs/2010.00135

DOI: arXiv:2010.00135v1

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