bookGraduate studies in mathematicsMar 25, 2003Closed access

Topics in Optimal Transportation

CVCédric Villani

École Normale Supérieure de Lyon

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Abstract

Introduction The Kantorovich duality Geometry of optimal transportation Brenier's polar factorization theorem The Monge-Ampere equation Displacement interpolation and displacement convexity Geometric and Gaussian inequalities The metric side of optimal transportation A differential point of view on optimal transportation Entropy production and transportation inequalities Problems Bibliography Table of short statements Index.

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  • Computer science
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  • Transport engineering
  • Engineering
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