Regularity of optimal transport and cut locus: From nonsmooth analysis to geometry to smooth analysis

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Abstract

In this survey paper I describe the convoluted links between the regularity theory of optimal transport and the geometry of cut locus.

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Villani, C. (2011). Regularity of optimal transport and cut locus: From nonsmooth analysis to geometry to smooth analysis. Discrete and Continuous Dynamical Systems, 30(2), 559–571. https://doi.org/10.3934/dcds.2011.30.559

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