Work

Weak optimal transport with unnormalized kernels

Year: 2022

Type: preprint

Abstract: We introduce a new variant of the weak optimal transport problem where mass is distributed from one space to the other through unnormalized kernels. We give sufficient conditions for primal attainment and prove a dual formula for this transport problem. We also obtain dual attainment conditions for some specific cost functions. As a byproduct we obtain a transport characterization of the stochastic order defined by convex positively 1-homogenous functions, in the spirit of Strassen theorem for convex domination.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2203.16227

Authors: Choné, Philippe, Gozlan, Nathael, Kramarz, Francis

Institutions: Centre de Recherche en Économie et Statistique, Mathématiques Appliquées à Paris 5

Language: English

Topic: Geometric Analysis and Curvature Flows

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: Fondation Simone et Cino Del Duca, Agence Nationale de la Recherche, Labex Ecodec, H2020 European Research Council

Awards: G1527455529, G3588620342, Firms and Their Networks, G6724645115, G7629784203

OpenAlex ID: W4225978477

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