多重随机行走中网格点的可见性

IF 0.6 3区数学 Q3 MATHEMATICS Acta Mathematica Hungarica Pub Date : 2024-03-13 DOI:10.1007/s10474-024-01412-3

M. Lu

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引用次数: 0

摘要

本文关注的是\(\mathbb{N}^k\)上多个随机行走中的晶格点的可见性，其中\(k\geq 2\) 是一个整数。我们研究了可见性的两个方面：在多个随机行走中同时可见；以及只有其中一些行走是可见的。结合数论和概率论的工具，我们证明了上述两部分的相应密度。

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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Visibility Properties Of Lattice Points In Multiple Random Walks

This paper concerns the visibility properties of lattice points in multiple random walks on \(\mathbb{N}^k\), where \(k\geq 2\) is an integer. We study two aspects of the visibility: simultaneous visibility in multiple random walkers; and that only some of these walkers are visible. Combining tools from number theory and probability theory, we prove the corresponding densities of the above two parts.

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来源期刊

Acta Mathematica Hungarica 数学-数学

CiteScore

1.50

自引率

11.10%

发文量

审稿时长

4-8 weeks

期刊介绍： Acta Mathematica Hungarica is devoted to publishing research articles of top quality in all areas of pure and applied mathematics as well as in theoretical computer science. The journal is published yearly in three volumes (two issues per volume, in total 6 issues) in both print and electronic formats. Acta Mathematica Hungarica (formerly Acta Mathematica Academiae Scientiarum Hungaricae) was founded in 1950 by the Hungarian Academy of Sciences.