On the monotonicity of optimal transportation plans
type: Item
instance of: scholarly article
title: On the monotonicity of optimal transportation plans
zbMATH Open document ID: 0892.60020
published in: Journal of Mathematical Analysis and Applications
publication date: 1998-08-09T00:00:00Z
review text: The authors supplement their previous work on optimal transportation plans. If one of the underlying measures in the transportation problem is absolutely continuous, then there exists an increasing, measurable transportation map which is almost surely continuous. By their final result, they prove that a.s. continuity is a consequence of monotonicity alone.
Mathematics Subject Classification ID: 60E05
Mathematics Subject Classification ID: 60B10
zbMATH DE Number: 1115441
zbMATH Keywords: Zarantello-monotone
zbMATH Keywords: Monge-Kantorovich
zbMATH Keywords: mass transportation
author: Juan Antonio Cuesta-Albertos
author: Carlos Matrán
author: A. Tuero-Diaz
MaRDI profile type: Publication
full work available at URL: jmaa.1997.5618
OpenAlex ID: W2077747675
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DOI: 10.1006/JMAA.1997.5618
description: scientific article; zbMATH DE number 1115441