On a Solution to the Monge Transport Problem on the Real Line Arising from the Strictly Concave Case

DOI10.1137/19M1277242zbMath1451.49042arXiv1907.00681OpenAlexW3090528536MaRDI QIDQ5127141

Nicolas Juillet

Publication date: 21 October 2020

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.00681

zbMATH Keywords

optimal transportcumulative distribution functionBanach indicatrixbounded variationsjoint law

Mathematics Subject Classification ID

Functions of bounded variation, generalizations (26A45) Probability theory and stochastic processes (60-XX) Optimal transportation (49Q22)

Related Items (1)

The number of optimal matchings for Euclidean assignment on the line

Cites Work

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• Full characterization of optimal transport plans for concave costs
• The geometry of optimal transportation
• Sharp and rigid isoperimetric inequalities in metric-measure spaces with lower Ricci curvature bounds
• The continuum random tree. III
• Unbiased shifts of Brownian motion
• Local Matching Indicators for Transport Problems with Concave Costs
• Exact solutions to the transportation problem on the line
• The Entropic Regularization of the Monge Problem on the Real Line
• Density Functional Theory and Optimal Transportation with Coulomb Cost
• Local times for functions with finite variation: two versions of Stieltjes change-of-variables formula
• The Dyck bound in the concave 1-dimensional random assignment model

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