Grand-Canonical Optimal Transport

被引：0
|
作者：
Di Marino, Simone [1 ]
Lewin, Mathieu [2 ,3 ]
Nenna, Luca [4 ]
机构：
[1] Univ Genoa, DIMA, MaLGa, Via Dodecaneso 35, I-16146 Genoa, Italy
[2] PSL Univ, CNRS, F-75016 Paris, France
[3] PSL Univ, Univ Paris Dauphine, CEREMADE, F-75016 Paris, France
[4] Univ Paris Saclay, CNRS, Lab Math Orsay, Inria Saclay,ParMA, F-91405 Orsay, France
来源：
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS | 2025年 / 249卷 / 01期
基金：
欧洲研究理事会;
关键词：
MULTIMARGINAL OPTIMAL TRANSPORT; DENSITY-FUNCTIONAL THEORY; HELLINGER-KANTOROVICH DISTANCE; STRICTLY CORRELATED ELECTRONS; EXPLICIT MARTINGALE VERSION; STATISTICAL-MECHANICS; CLASSICAL FLUIDS; COULOMB; INFORMATION; IONIZATION;
D O I：
10.1007/s00205-024-02080-x
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study a generalization of the multi-marginal optimal transport problem, which has no fixed number of marginals N and is inspired of statistical mechanics. It consists in optimizing a linear combination of the costs for all the possible N's, while fixing a certain linear combination of the corresponding marginals.
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页数：66
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