二象性和热流

IF 1.5 1区数学 Q1 MATHEMATICS

Advances in Mathematics Pub Date : 2025-02-28 DOI:10.1016/j.aim.2025.110161

D. Cordero-Erausquin , N. Gozlan , S. Nakamura , H. Tsuji

引用次数: 0

摘要

我们揭示了凸函数的Legendre变换与热流演化的关系，以及如何将其应用于泛函Blaschke-Santaló不等式。我们还描述了该不等式中的局部最大化者。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Duality and Heat flow

We reveal the relation between the Legendre transform of convex functions and Heat flow evolution, and how it applies to the functional Blaschke-Santaló inequality. We also describe local maximizers in this inequality.

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来源期刊

Advances in Mathematics 数学-数学

CiteScore

2.80

自引率

5.90%

发文量

497

审稿时长

7.5 months

期刊介绍： Emphasizing contributions that represent significant advances in all areas of pure mathematics, Advances in Mathematics provides research mathematicians with an effective medium for communicating important recent developments in their areas of specialization to colleagues and to scientists in related disciplines.