高维实序列的泊松对相关性

IF 0.8 3区数学 Q2 MATHEMATICS

Mathematika Pub Date : 2024-09-26 DOI:10.1112/mtk.12283

Tanmoy Bera, Mithun Kumar Das, Anirban Mukhopadhyay

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引用次数: 0

摘要

在本文中，我们研究了高维实序列的泊松对相关性统计量（PPC）。具体地说，我们证明，对于，几乎所有，中的序列都有 PPC，条件是。与 [Aistleitner, El-Baz, and Munsch, Geom. Funct. Anal.更一般地说，我们推导出几乎所有 .因此，只要所有的都大于二，我们就建立了公因子 PPC。

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Poissonian pair correlation for higher dimensional real sequences

In this article, we examine the Poissonian pair correlation (PPC) statistic for higher dimensional real sequences. Specifically, we demonstrate that for , almost all , the sequence in has PPC conditionally on the additive energy bound of . This bound is more relaxed compared to the additive energy bound for one dimension as discussed in [Aistleitner, El-Baz, and Munsch, Geom. Funct. Anal. 31 (2021), 483–512]. More generally, we derive the PPC for for almost all . As a consequence we establish the metric PPC for provided that all of the are greater than two.

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来源期刊

Mathematika MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

1.40

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Mathematika publishes both pure and applied mathematical articles and has done so continuously since its founding by Harold Davenport in the 1950s. The traditional emphasis has been towards the purer side of mathematics but applied mathematics and articles addressing both aspects are equally welcome. The journal is published by the London Mathematical Society, on behalf of its owner University College London, and will continue to publish research papers of the highest mathematical quality.