On the Kantorovich problem with a parameter (Q2279770)
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| Language | Label | Description | Also known as |
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| English | On the Kantorovich problem with a parameter |
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On the Kantorovich problem with a parameter (English)
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13 December 2019
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The paper contains announcements of several results on measurable dependence of measures on a parameter in the Kantorovich optimal transport problem with a parameter. The authors obtain broad sufficient conditions for the existence of proper conditional measures which depend measurably on a parameter in the case of parametric families of measures and mappings. The results generalize results obtained by Villani, and by Dedecker-Prieur-Raynaud de Fitte and others. At the same time, the authors give a correct proof of a result stated by X. Zhang.
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optimal transport problem with parameter
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measure and integration
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