多圆盘切片时的哈格鲁普相变

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-08-21 DOI:10.2140/apde.2024.17.2509

Giorgos Chasapis, Salil Singh, Tomasz Tkocz

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引用次数: 0

摘要

我们在三维欧几里得球上均匀分布的独立随机向量之和的负矩形和第二矩形之间建立了一个尖锐的比较不等式。这是对 Oleszkiewicz-Pełczyński 多圆盘切分结果的概率扩展。与实际情况相反，当 p-norm 恢复体积时，哈格鲁普型相变就会发生。我们还获得了更高维度的部分结果。

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Haagerup’s phase transition at polydisc slicing

We establish a sharp comparison inequality between the negative moments and the second moment of the magnitude of sums of independent random vectors uniform on three-dimensional Euclidean spheres. This provides a probabilistic extension of the Oleszkiewicz–Pełczyński polydisc slicing result. The Haagerup-type phase transition occurs exactly when the $p$ -norm recovers volume, in contrast to the real case. We also obtain partial results in higher dimensions.

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.