大正则最优输运

IF 2.6 1区数学 Q1 MATHEMATICS, APPLIED

Archive for Rational Mechanics and Analysis Pub Date : 2025-01-13 DOI:10.1007/s00205-024-02080-x

Simone Di Marino, Mathieu Lewin, Luca Nenna

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引用次数: 0

摘要

研究了受统计力学启发的无固定边数N的多边最优输运问题的推广。它包括优化所有可能N的成本的线性组合，同时固定相应的边际的一定线性组合。

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Grand-Canonical Optimal Transport

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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来源期刊

Archive for Rational Mechanics and Analysis 物理-力学

CiteScore

5.10

自引率

8.00%

发文量

审稿时长

4-8 weeks

期刊介绍： The Archive for Rational Mechanics and Analysis nourishes the discipline of mechanics as a deductive, mathematical science in the classical tradition and promotes analysis, particularly in the context of application. Its purpose is to give rapid and full publication to research of exceptional moment, depth and permanence.