书评:;欧几里德空间上的最优质量输运

IF 10.8 1区数学 Q1 MATHEMATICS, APPLIED

SIAM Review Pub Date : 2025-05-08 DOI:10.1137/24m1637854

Leon Bungert

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引用次数: 0

摘要

SIAM评论，第67卷，第2期，第408-411页，2025年5月。最优运输最初是由加斯帕德·蒙格（Gaspard Monge）发明的，他曾说过：“msammoire sur la thsamorie des dsamblais et des remblais”。数学。理论物理。皇家科学院院士（1781），第666-704页)，以模拟最佳映射一个质量分布到另一个的问题。这后来被列昂尼德·坎托罗维奇（Leonid Kantorovich）重新表述为一个完备的线性规划，使用交通计划的概念而不是地图[On the translocation of mass， Dokl]。Akad。研究。苏联（N.S.）， 37(1942)，第199-201页)，他因此获得了诺贝尔经济学奖。在过去的四十年中，最优运输领域的发展远远超出了其最初的目的，并已发展成为数学和其他科学应用的推动力。这篇书评是关于弗朗西斯科·马吉在欧几里得空间上的最优质量输运的新专著。

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Book Review:; Optimal Mass Transport on Euclidean Spaces

SIAM Review, Volume 67, Issue 2, Page 408-411, May 2025.
Optimal transport was originally invented by Gaspard Monge [“Mémoire sur la théorie des déblais et des remblais,” Mem. Math. Phys. Acad. Royale Sci., (1781), pp. 666–704] to model the problem of optimally mapping one distribution of mass onto another. This was later reformulated by Leonid Kantorovich as a well-posed linear program using the notion of transport plans instead of maps in [“On the translocation of masses,” Dokl. Akad. Nauk. USSR (N.S.), 37 (1942), pp. 199–201], which earned him the Nobel Memorial Prize in Economic Sciences. In the past four decades the field of optimal transport has grown far beyond its original purpose and has evolved into a driving force for applications both within mathematics and in other sciences. This book review deals with the new monograph Optimal Mass Transport on Euclidean Spaces by Francesco Maggi.

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来源期刊

SIAM Review 数学-应用数学

CiteScore

16.90

自引率

0.00%

发文量

期刊介绍： Survey and Review feature papers that provide an integrative and current viewpoint on important topics in applied or computational mathematics and scientific computing. These papers aim to offer a comprehensive perspective on the subject matter. Research Spotlights publish concise research papers in applied and computational mathematics that are of interest to a wide range of readers in SIAM Review. The papers in this section present innovative ideas that are clearly explained and motivated. They stand out from regular publications in specific SIAM journals due to their accessibility and potential for widespread and long-lasting influence.